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class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-sw" placeholder="use * to find all documents using software"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-br" placeholder="find documents about the life or work of a person"> <span class="multi-line-value" id="multi-line-type-multiselect-db"> <select class="multi-line-selectpicker" data-width="100%" multiple> <option value="zbl">Zbl</option> <option value="arxiv">arXiv</option> <option value="jfm">JFM</option> <option value="eram">ERAM</option> </select> <input type="hidden" class="multi-line-input" name="ml-0-v" value=""> </span> </div> <form name="documents" method="GET" action="/" autocomplete="off"> <div class="documents multi-line" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"> <span tabindex="0" class="glyphicon 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value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> 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<option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti" selected>Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" 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class="slider"> <label for="dt-p" title="search for arXiv Preprints"> <input type="checkbox" id="dt-p" name="dt" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> </div> </div> <div class="row"> <div class="col-xs-12 buttons"> <a tabindex="0" class="btn btn-default clear-all">Reset all <span class="glyphicon glyphicon-remove"></span></a> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> </div> </form> <form class="form-inline" name="documents" method="GET" action="/"> <div class="documents one-line" style="display: block;"> <div class="forms"> <ul class="nav forms"> <li class="multi-line"><a href="#">New Multi-Line Search <span class="glyphicon glyphicon-list"></span></a></li> </ul> </div> <div id="search-row" class="input-group box"> <span> <div id="search-field"> <input class="query form-control" type="text" name="q" value="rf:1950020" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">ab:</span><span>&nbsp;&nbsp;</span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span>&nbsp;&nbsp;</span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span>&nbsp;&nbsp;</span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span>&nbsp;&nbsp;</span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span>&nbsp;&nbsp;</span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span>&nbsp;&nbsp;</span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span>&nbsp;&nbsp;</span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span>&nbsp;&nbsp;</span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span>&nbsp;&nbsp;</span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span>&nbsp;&nbsp;</span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span>&nbsp;&nbsp;</span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span>&nbsp;&nbsp;</span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span>&nbsp;&nbsp;</span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span>&nbsp;&nbsp;</span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span>&nbsp;&nbsp;</span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span>&nbsp;&nbsp;</span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span>&nbsp;&nbsp;</span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">a &amp; b</span><span>&nbsp;&nbsp;</span>logical and</a></li> <li><a href="#"><span class="token item">a | b</span><span>&nbsp;&nbsp;</span>logical or</a></li> <li><a href="#"><span class="token item">!ab</span><span>&nbsp;&nbsp;</span>logical not</a></li> <li><a href="#"><span class="token item">abc*</span><span>&nbsp;&nbsp;</span>right wildcard</a></li> <li><a href="#"><span class="token item">ab c</span><span>&nbsp;&nbsp;</span>phrase</a></li> <li><a href="#"><span class="token item">(ab c)</span><span>&nbsp;&nbsp;</span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. Queries are <strong>case-independent</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Funct%2A">Funct*</a></span> <span class="search-explanation" role="cell" role="cell"><strong>Wildcard</strong> queries are specified by <u>*</u> (e.g. <em>functions</em>, <em>functorial</em>, etc.). Otherwise the search is <strong>exact</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Topological+group">Topological group</a></span> <span class="search-explanation" role="cell" role="cell"><strong>Phrases</strong>(multi - words) should be set in <u></u>straight quotation marks<u></u>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Bourbaki+%26+ti%3A+Algebra">au: Bourbaki &amp; ti: Algebra</a></span> <span class="search-explanation" role="cell" role="cell">Search for <strong><u>au</u>thor</strong> <em>Bourbaki</em> and <strong><u>ti</u>tle</strong> <em>Algebra</em>. The <strong>and -operator &</strong> is default and can be omitted.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Chebyshev+%7C+Tschebyscheff">Chebyshev | Tschebyscheff</a></span> <span class="search-explanation" role="cell" role="cell">The <strong>or</strong>-operator <strong>|</strong> allows to search for <em>Chebyshev</em> or <em>Tschebyscheff</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Quasi%2A+map%2A+py%3A+1989">Quasi* map* py: 1989</a></span> <span class="search-explanation" role="cell" role="cell">The resulting documents have <strong><u>p</u>ublication <u>y</u>ear</strong> <em>1989</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=so%3AEur%2A+J%2A+Mat%2A+Soc%2A+cc%3A14">so:Eur* J* Mat* Soc* cc:14</a></span> <span class="search-explanation" role="cell" role="cell">Search for publications in a particular <strong><u>so</u>urce</strong> with a <strong>Mathematics Subject <u>C</u>lassification <u>c</u>ode</strong> in <em>14</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%27%27Partial+diff%2A+eq%2A%27%27+%21elliptic">&#39;&#39;Partial diff* eq*&#39;&#39; !elliptic</a></span> <span class="search-explanation" role="cell" role="cell">The <strong>not</strong> -operator <strong>!</strong> eliminates all results containing the word <em>elliptic</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=dt%3A+b+%26+au%3A+Hilbert">dt: b &amp; au: Hilbert</a></span> <span class="search-explanation" role="cell" role="cell">The <strong><u>d</u>ocument <u>t</u>ype</strong> is set to <u>b</u>ooks; alternatively: <u>j</u> for <strong><u>j</u>ournal articles</strong>, <u>a</u> for <strong>book <u>a</u>rticles</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=py%3A+2000+-+2015+cc%3A%2894A+%7C+11T%29">py: 2000 - 2015 cc:(94A | 11T)</a></span> <span class="search-explanation" role="cell" role="cell">Number <strong>ranges</strong> when searching for <strong><u>p</u>ublication <u>y</u>ear</strong> are accepted. Terms can be grouped within <strong><u>(</u>parentheses<u>)</u></strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=la%3A+chinese">la: chinese</a></span> <span class="search-explanation" role="cell" role="cell">Find documents in a given <strong><u>la</u>nguage</strong>. <a href='https://en.wikipedia.org/wiki/ISO_639-1'>ISO 639 - 1</a> (opens in new tab) language codes can also be used.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=st%3A+c+r+s">st: c r s</a></span> <span class="search-explanation" role="cell" role="cell">Find documents that are <strong><u>c</u>ited</strong>, have <strong><u>r</u>eferences</strong> and are from a <strong><u>s</u>ingle author</strong>.</span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Fields</h2> <div id="help-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ab</strong> </span> <span class="search-explanation" role="cell" role="cell"> Text from the summary or review (for phrases use &ldquo;...&rdquo;) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>an</strong> </span> <span class="search-explanation" role="cell" role="cell"> zbMATH ID, i.e.: preliminary ID, Zbl number, JFM number, ERAM number </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>any</strong> </span> <span class="search-explanation" role="cell" role="cell"> Includes ab, au, cc, en, rv, so, ti, ut </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>arxiv</strong> </span> <span class="search-explanation" role="cell" role="cell"> arXiv preprint number </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>au</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name(s) of the contributor(s) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>br</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of a person with biographic references (to find documents about the life or work) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>cc</strong> </span> <span class="search-explanation" role="cell" role="cell"> Code from the Mathematics Subject Classification (prefix with <strong>*</strong> to search only primary MSC) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ci</strong> </span> <span class="search-explanation" role="cell" role="cell"> zbMATH ID of a document cited in summary or review </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>db</strong> </span> <span class="search-explanation" role="cell" role="cell"> Database: documents in Zentralblatt für Mathematik/zbMATH Open (<em>db:Zbl</em>), Jahrbuch über die Fortschritte der Mathematik (<em>db:JFM</em>), Crelle's Journal (<em>db:eram</em>), arXiv (<em>db:arxiv</em>) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>dt</strong> </span> <span class="search-explanation" role="cell" role="cell"> Type of the document: journal article (<em>dt:j</em>), collection article (<em>dt:a</em>), book (<em>dt:b</em>) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>doi</strong> </span> <span class="search-explanation" role="cell" role="cell"> Digital Object Identifier (DOI) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ed</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of the editor of a book or special issue </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>en</strong> </span> <span class="search-explanation" role="cell" role="cell"> External document ID: DOI, arXiv ID, ISBN, and others </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>in</strong> </span> <span class="search-explanation" role="cell" role="cell"> zbMATH ID of the corresponding issue </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>la</strong> </span> <span class="search-explanation" role="cell" role="cell"> Language (use name, e.g., <em>la:French</em>, or <a href='https://en.wikipedia.org/wiki/ISO_639-1'>ISO 639-1</a>, e.g., <em>la:FR)</em> </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>li</strong> </span> <span class="search-explanation" role="cell" role="cell"> External link (URL) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>na</strong> </span> <span class="search-explanation" role="cell" role="cell"> Number of authors of the document in question. Interval search with &ldquo;-&rdquo; </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>pt</strong> </span> <span class="search-explanation" role="cell" role="cell"> Reviewing state: Reviewed (<em>pt:r</em>), Title Only (<em>pt:t</em>), Pending (<em>pt:p</em>), Scanned Review (<em>pt:s</em>) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>pu</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of the publisher </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>py</strong> </span> <span class="search-explanation" role="cell" role="cell"> Year of publication. Interval search with &ldquo;-&rdquo; </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>rft</strong> </span> <span class="search-explanation" role="cell" role="cell"> Text from the references of a document (for phrases use &ldquo;...&rdquo;) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>rn</strong> </span> <span class="search-explanation" role="cell" role="cell"> Reviewer ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>rv</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name or ID of the reviewer </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>se</strong> </span> <span class="search-explanation" role="cell" role="cell"> Serial ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>si</strong> </span> <span class="search-explanation" role="cell" role="cell"> swMATH ID of software referred to in a document </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>so</strong> </span> <span class="search-explanation" role="cell" role="cell"> Bibliographical source, e.g., serial title, volume/issue number, page range, year of publication, ISBN, etc. </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>st</strong> </span> <span class="search-explanation" role="cell" role="cell"> State: is cited (<em>st:c</em>), has references (<em>st:r</em>), has single author (<em>st:s</em>) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>sw</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of software referred to in a document </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ti</strong> </span> <span class="search-explanation" role="cell" role="cell"> Title of the document </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ut</strong> </span> <span class="search-explanation" role="cell" role="cell"> Keywords </span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Operators</h2> <div id="operators-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a &amp; b</strong></span> <span class="search-explanation" role="cell" role="cell">logical and</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a | b</strong></span> <span class="search-explanation" role="cell" role="cell">logical or</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>!ab</strong></span> <span class="search-explanation" role="cell" role="cell">logical not</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>abc*</strong></span> <span class="search-explanation" role="cell" role="cell">right wildcard</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>ab c</strong></span> <span class="search-explanation" role="cell" role="cell">phrase</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>(ab c)</strong></span> <span class="search-explanation" role="cell" role="cell">parentheses</span> </div> </div> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> <div class="clearfix"></div> </div> <div class="content-option"><div class="navigation"> <div class="function input-group"> <div class="btn-group"> <button name="mark" value="mark" class="btn btn-default btn-xs mark-btn" type="button"><strong>Mark All</strong></button> <div class="btn-group display-marked-items"> <button type="button" class="btn btn-default btn-xs dropdown-toggle" data-toggle="dropdown"> <strong>Display Marked Items</strong> <span class="caret"></span> </button> <span id="display-query" class="tex2jax_ignore" style="display: none;">rf:1950020</span> <span id="display-formula" style="display: none;"></span> <span id="display-start" style="display: none;">0</span> <span id="display-count" style="display: none;">100</span> <span id="display-format" style="display: none;">mathjax</span> <span id="display-ranking" style="display: none;">date</span> <ul class="dropdown-menu"> <li> <a href="#" class="display-html">HTML</a> </li> <li> <a href="#" class="display-pdf-short">PDF (short)</a> </li> <li> <a href="#" class="display-pdf-long">PDF (long)</a> </li> <li> <a href="#" class="display-latexci">LaTeX Citation</a> </li> <li> <a href="#" class="display-bibtex">BibTeX</a> </li> <li> <a href="#" class="display-amsrefs">AMSRef</a> </li> </ul> </div> </div> </div> <div class="page-navigation"> <span class="title"> Page <strong>1</strong> of <strong>1</strong> </span> <div class="pages btn-group"> <a class="btn btn-default btn-xs first disabled" tabindex="-1" type="button" href="/?q=rf%3A1950020" title="">First</a> <a class="btn btn-default btn-xs previous disabled" tabindex="-1" type="button" href="/?q=rf%3A1950020" title="">Prev</a> <a class="btn btn-default btn-xs page" type="button" href="/?q=rf%3A1950020" title="">&diams;</a> <a class="btn btn-default btn-xs next disabled" tabindex="-1" type="button" href="/?q=rf%3A1950020" title="">Next</a> <a class="btn btn-default btn-xs last disabled" tabindex="-1" type="button" href="/?q=rf%3A1950020" title="">Last</a> </div> </div> <div class="ranking"> <input type="checkbox" name="r" id="ranking" value="xx"><span>&nbsp;Sorting</span> </div> <div class="clearfix"></div> </div> <div class="clearfix"></div></div> <div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="documents"> <div class="content-main" role="list" style="padding-top: 20px;"> <div class="content-title"> <div class="head"> <h2>Found 25 Documents <small>(Results 1&ndash;25)</small> </h2> </div> </div> <div class="content-clear"></div> <section class="content-result" role="list"><div class="meta row"> <div class="count col-sm-4 col-sm-offset-8"> <div class="function btn-group" style="float: right;" role="group" aria-label="sort by"> <a class="btn btn-default btn-xs active " title="sort by date">Newest</a> <a class="btn btn-default btn-xs " href="/?q=rf%3A1950020&amp;r=references " title="sort by number of citations">Citations</a> <a class="btn btn-default btn-xs " href="/?q=rf%3A1950020&amp;r=relevance " title="sort by relevance">Relevance</a> </div> </div> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7827374" value="7827374" aria-label="mark item Zbl 1550.90060"></div> <div class="author"><a href="/authors/yalcin.gulcin-dinc" title="Author Profile">Yalcin, Gulcin Dinc</a>; <a href="/authors/kasimbeyli.refail" title="Author Profile">Kasimbeyli, Refail</a></div> <h3 class="title"> <a href="/1550.90060"><strong>Generalized derivatives and optimality conditions in nonconvex optimization.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1550.90060">Zbl 1550.90060</a> </h3> <div class="source"> <a href="/serials/2906" title="Journal Profile">Bull. Malays. Math. Sci. Soc. (2)</a> <a href="/?q=in%3A509918" title="Articles in this Issue">47, No. 3, Paper No. 81, 30 p. (2024)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A9439">Samir Kumar Neogy (New Delhi)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A90C30" title="Nonlinear programming">90C30</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A90C56" title="Derivative-free methods and methods using generalized derivatives">90C56</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1550.90060" data-ciurl="/ci/07827374" data-biburl="/bibtex/07827374.bib" data-amsurl="/amsrefs/07827374.bib" data-xmlurl="/xml/07827374.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07827374.pdf" title="Zbl 1550.90060 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s40840-024-01676-6" aria-label="DOI for “Generalized derivatives and optimality conditions in nonconvex optimization”" title="10.1007/s40840-024-01676-6">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2209.02118" title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> <img tabindex="0" src="/static/img/unlock_up.svg" class="cc-license-icon" title="Open version available"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7461771" value="7461771" aria-label="mark item Zbl 1486.90207"></div> <div class="author"><a href="/authors/tang.tian" title="Author Profile">Tang, Tian</a>; <a href="/authors/wang.qilin" title="Author Profile">Wang, Qilin</a>; <a href="/authors/zhang.xiaoyan.5" title="Author Profile">Zhang, Xiaoyan</a>; <a href="/authors/zhai.yuwen" title="Author Profile">Zhai, Yuwen</a></div> <h3 class="title"> <a href="/1486.90207"><strong>Second-order weakly composed adjacent-generalized contingent epiderivatives and applications to composite set-valued optimization problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1486.90207">Zbl 1486.90207</a> </h3> <div class="source"> <a href="/serials/1356" title="Journal Profile">Japan J. Ind. Appl. Math.</a> <a href="/?q=in%3A474974" title="Articles in this Issue">39, No. 1, 319-350 (2022)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A15038">Sorin-Mihai Grad (Paris)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A26E25" title="Set-valued functions">26E25</a> <a class="mono" href="/classification/?q=cc%3A28B20" title="Set-valued set functions and measures; integration of set-valued functions; measurable selections">28B20</a> <a class="mono" href="/classification/?q=cc%3A46G05" title="Derivatives of functions in infinite-dimensional spaces">46G05</a> <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1486.90207" data-ciurl="/ci/07461771" data-biburl="/bibtex/07461771.bib" data-amsurl="/amsrefs/07461771.bib" data-xmlurl="/xml/07461771.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07461771.pdf" title="Zbl 1486.90207 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s13160-021-00491-x" aria-label="DOI for “Second-order weakly composed adjacent-generalized contingent epiderivatives and applications to composite set-valued optimization problems”" title="10.1007/s13160-021-00491-x">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7309375" value="7309375" aria-label="mark item Zbl 1462.90124"></div> <div class="author"><a href="/authors/wang.qilin" title="Author Profile">Wang, Qilin</a>; <a href="/authors/zhang.xiaoyan.5" title="Author Profile">Zhang, Xiaoyan</a></div> <h3 class="title"> <a href="/1462.90124"><strong>Second-order composed radial derivatives of the Benson proper perturbation map for parametric multi-objective optimization problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1462.90124">Zbl 1462.90124</a> </h3> <div class="source"> <a href="/serials/1187" title="Journal Profile">Asia-Pac. J. Oper. Res.</a> <a href="/?q=in%3A458671" title="Articles in this Issue">37, No. 4, Article ID 2040011, 18 p. (2020)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A9718">Jan-Joachim Rückmann (Bergen)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C31" title="Sensitivity, stability, parametric optimization">90C31</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1462.90124" data-ciurl="/ci/07309375" data-biburl="/bibtex/07309375.bib" data-amsurl="/amsrefs/07309375.bib" data-xmlurl="/xml/07309375.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07309375.pdf" title="Zbl 1462.90124 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0217595920400114" aria-label="DOI for “Second-order composed radial derivatives of the Benson proper perturbation map for parametric multi-objective optimization problems”" title="10.1142/S0217595920400114">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7195874" value="7195874" aria-label="mark item Zbl 1448.90082"></div> <div class="author"><a href="/authors/sisarat.nithirat" title="Author Profile">Sisarat, Nithirat</a>; <a href="/authors/wangkeeree.rabian" title="Author Profile">Wangkeeree, Rabian</a>; <a href="/authors/tanaka.tamaki" title="Author Profile">Tanaka, Tamaki</a></div> <h3 class="title"> <a href="/1448.90082"><strong>Sequential characterizations of approximate solutions in convex vector optimization problems with set-valued maps.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1448.90082">Zbl 1448.90082</a> </h3> <div class="source"> <a href="/serials/1408" title="Journal Profile">J. Glob. Optim.</a> <a href="/?q=in%3A448803" title="Articles in this Issue">77, No. 2, 273-287 (2020)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A10322">Vicente Novo Sanjurjo (Madrid)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A90C48" title="Programming in abstract spaces">90C48</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1448.90082" data-ciurl="/ci/07195874" data-biburl="/bibtex/07195874.bib" data-amsurl="/amsrefs/07195874.bib" data-xmlurl="/xml/07195874.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07195874.pdf" title="Zbl 1448.90082 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10898-019-00864-0" aria-label="DOI for “Sequential characterizations of approximate solutions in convex vector optimization problems with set-valued maps”" title="10.1007/s10898-019-00864-0">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7138568" value="7138568" aria-label="mark item Zbl 1425.90109"></div> <div class="author"><a href="/authors/wang.qilin" title="Author Profile">Wang, Qilin</a>; <a href="/authors/zhang.xiaoyan.5" title="Author Profile">Zhang, Xiaoyan</a>; <a href="/authors/li.xiaobing" title="Author Profile">Li, Xiaobing</a>; <a href="/authors/zeng.jing" title="Author Profile">Zeng, Jing</a></div> <h3 class="title"> <a href="/1425.90109"><strong>New second-order radial epiderivatives and nonconvex set-valued optimization problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1425.90109">Zbl 1425.90109</a> </h3> <div class="source"> <a href="/serials/1356" title="Journal Profile">Japan J. Ind. Appl. Math.</a> <a href="/?q=in%3A442908" title="Articles in this Issue">36, No. 3, 907-935 (2019)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A49J52" title="Nonsmooth analysis">49J52</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1425.90109" data-ciurl="/ci/07138568" data-biburl="/bibtex/07138568.bib" data-amsurl="/amsrefs/07138568.bib" data-xmlurl="/xml/07138568.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07138568.pdf" title="Zbl 1425.90109 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s13160-019-00370-6" aria-label="DOI for “New second-order radial epiderivatives and nonconvex set-valued optimization problems”" title="10.1007/s13160-019-00370-6">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7093462" value="7093462" aria-label="mark item Zbl 1421.49015"></div> <div class="author"><a href="/authors/anh.nguyen-le-hoang" title="Author Profile">Anh, Nguyen Le Hoang</a></div> <h3 class="title"> <a href="/1421.49015"><strong>Higher-order generalized radial epiderivative and its applications to set-valued optimization problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1421.49015">Zbl 1421.49015</a> </h3> <div class="source"> <a href="/serials/2906" title="Journal Profile">Bull. Malays. Math. Sci. Soc. (2)</a> <a href="/?q=in%3A436758" title="Articles in this Issue">42, No. 4, 1853-1863 (2019)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A6295">Vasile Postolică (Piatra Neamt)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A49J53" title="Set-valued and variational analysis">49J53</a> <a class="mono" href="/classification/?q=cc%3A54C60" title="Set-valued maps in general topology">54C60</a> <a class="mono" href="/classification/?q=cc%3A90C56" title="Derivative-free methods and methods using generalized derivatives">90C56</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1421.49015" data-ciurl="/ci/07093462" data-biburl="/bibtex/07093462.bib" data-amsurl="/amsrefs/07093462.bib" data-xmlurl="/xml/07093462.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07093462.pdf" title="Zbl 1421.49015 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s40840-017-0573-x" aria-label="DOI for “Higher-order generalized radial epiderivative and its applications to set-valued optimization problems”" title="10.1007/s40840-017-0573-x">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7084376" value="7084376" aria-label="mark item Zbl 1438.90276"></div> <div class="author"><a href="/authors/wang.qilin" title="Author Profile">Wang, Qilin</a>; <a href="/authors/he.liu" title="Author Profile">He, Liu</a>; <a href="/authors/li.shengjie" title="Author Profile">Li, Shengjie</a></div> <h3 class="title"> <a href="/1438.90276"><strong>Higher-order weak radial epiderivatives and non-convex set-valued optimization problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1438.90276">Zbl 1438.90276</a> </h3> <div class="source"> <a href="/serials/3293" title="Journal Profile">J. Ind. Manag. Optim.</a> <a href="/?q=in%3A435784" title="Articles in this Issue">15, No. 2, 465-480 (2019)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1438.90276" data-ciurl="/ci/07084376" data-biburl="/bibtex/07084376.bib" data-amsurl="/amsrefs/07084376.bib" data-xmlurl="/xml/07084376.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07084376.pdf" title="Zbl 1438.90276 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/jimo.2018051" aria-label="DOI for “Higher-order weak radial epiderivatives and non-convex set-valued optimization problems”" title="10.3934/jimo.2018051">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6648986" value="6648986" aria-label="mark item Zbl 1352.49016"></div> <div class="author"><a href="/authors/anh.nguyen-le-hoang" title="Author Profile">Anh, Nguyen Le Hoang</a></div> <h3 class="title"> <a href="/1352.49016"><strong>Mixed type duality for set-valued optimization problems via higher-order radial epiderivatives.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1352.49016">Zbl 1352.49016</a> </h3> <div class="source"> <a href="/serials/609" title="Journal Profile">Numer. Funct. Anal. Optim.</a> <a href="/?q=in%3A360177" title="Articles in this Issue">37, No. 7, 823-838 (2016)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A49J53" title="Set-valued and variational analysis">49J53</a> <a class="mono" href="/classification/?q=cc%3A49J52" title="Nonsmooth analysis">49J52</a> <a class="mono" href="/classification/?q=cc%3A49N15" title="Duality theory (optimization)">49N15</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A46G05" title="Derivatives of functions in infinite-dimensional spaces">46G05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1352.49016" data-ciurl="/ci/06648986" data-biburl="/bibtex/06648986.bib" data-amsurl="/amsrefs/06648986.bib" data-xmlurl="/xml/06648986.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06648986.pdf" title="Zbl 1352.49016 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/01630563.2016.1179202" aria-label="DOI for “Mixed type duality for set-valued optimization problems via higher-order radial epiderivatives”" title="10.1080/01630563.2016.1179202">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6580149" value="6580149" aria-label="mark item Zbl 1337.49001"></div> <div class="author"><a href="/authors/hamel.andreas-h" title="Author Profile">Hamel, Andreas H.</a>; <a href="/authors/heyde.frank" title="Author Profile">Heyde, Frank</a>; <a href="/authors/lohne.andreas" title="Author Profile">Löhne, Andreas</a>; <a href="/authors/rudloff.birgit" title="Author Profile">Rudloff, Birgit</a>; <a href="/authors/schrage.carola" title="Author Profile">Schrage, Carola</a></div> <h3 class="title"> <a href="/1337.49001"><strong>Set optimization &ndash; a rather short introduction.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1337.49001">Zbl 1337.49001</a> </h3> <div class="source"> Hamel, Andreas H. (ed.) et al., Set optimization and applications &ndash; the state of the art. From set relations to set-valued risk measures. Berlin: Springer (ISBN 978-3-662-48668-9/hbk; 978-3-662-48670-2/ebook). Springer Proceedings in Mathematics &amp; Statistics 151, 65-141 (2015). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A49-02" title="Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control">49-02</a> <a class="mono" href="/classification/?q=cc%3A49J53" title="Set-valued and variational analysis">49J53</a> <a class="mono" href="/classification/?q=cc%3A49J52" title="Nonsmooth analysis">49J52</a> <a class="mono" href="/classification/?q=cc%3A49N15" title="Duality theory (optimization)">49N15</a> <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A90C48" title="Programming in abstract spaces">90C48</a> <span class="mono" title="Risk theory, insurance (MSC2010)">91B30</span> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1337.49001" data-ciurl="/ci/06580149" data-biburl="/bibtex/06580149.bib" data-amsurl="/amsrefs/06580149.bib" data-xmlurl="/xml/06580149.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06580149.pdf" title="Zbl 1337.49001 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-662-48670-2_3" aria-label="DOI for “Set optimization -- a rather short introduction”" title="10.1007/978-3-662-48670-2_3">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1404.5928" title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6431425" value="6431425" aria-label="mark item Zbl 1312.49013"></div> <div class="author"><a href="/authors/ait-mansour.mohamed" title="Author Profile">Mansour, M. Ait</a>; <a href="/authors/riahi.hassan" title="Author Profile">Riahi, H.</a></div> <h3 class="title"> <a href="/1312.49013"><strong>Extended radial epiderivatives of non-convex vector-valued maps and parametric quasiconvex programming.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1312.49013">Zbl 1312.49013</a> </h3> <div class="source"> <a href="/serials/1052" title="Journal Profile">Optimization</a> <a href="/?q=in%3A343354" title="Articles in this Issue">64, No. 4, 771-797 (2015)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A49J52" title="Nonsmooth analysis">49J52</a> <a class="mono" href="/classification/?q=cc%3A49J53" title="Set-valued and variational analysis">49J53</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A58C07" title="Continuity properties of mappings on manifolds">58C07</a> <a class="mono" href="/classification/?q=cc%3A06A06" title="Partial orders, general">06A06</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1312.49013" data-ciurl="/ci/06431425" data-biburl="/bibtex/06431425.bib" data-amsurl="/amsrefs/06431425.bib" data-xmlurl="/xml/06431425.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06431425.pdf" title="Zbl 1312.49013 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/02331934.2013.811665" aria-label="DOI for “Extended radial epiderivatives of non-convex vector-valued maps and parametric quasiconvex programming”" title="10.1080/02331934.2013.811665">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6417969" value="6417969" aria-label="mark item Zbl 1310.26005"></div> <div class="author"><a href="/authors/kucuk.yalcin" title="Author Profile">Küçük, Yalçın</a>; <a href="/authors/atasever.ilknur" title="Author Profile">Atasever, Ilknur</a>; <a href="/authors/kucuk.mahide" title="Author Profile">Küçük, Mahide</a></div> <h3 class="title"> <a href="/1310.26005"><strong>Some relationships among gw-subdifferential, directional derivative and radial epiderivative for nonconvex vector functions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1310.26005">Zbl 1310.26005</a> </h3> <div class="source"> <a href="/serials/1052" title="Journal Profile">Optimization</a> <a href="/?q=in%3A342433" title="Articles in this Issue">64, No. 3, 627-640 (2015)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A26A24" title="Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems">26A24</a> <a class="mono" href="/classification/?q=cc%3A28B99" title="Set functions, measures and integrals with values in abstract spaces">28B99</a> <a class="mono" href="/classification/?q=cc%3A49J52" title="Nonsmooth analysis">49J52</a> <a class="mono" href="/classification/?q=cc%3A65K10" title="Numerical optimization and variational techniques">65K10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1310.26005" data-ciurl="/ci/06417969" data-biburl="/bibtex/06417969.bib" data-amsurl="/amsrefs/06417969.bib" data-xmlurl="/xml/06417969.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06417969.pdf" title="Zbl 1310.26005 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/02331934.2013.793328" aria-label="DOI for “Some relationships among gw-subdifferential, directional derivative and radial epiderivative for nonconvex vector functions”" title="10.1080/02331934.2013.793328">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6377198" value="6377198" aria-label="mark item Zbl 1334.49058"></div> <div class="author"><a href="/authors/?q=ai%3Aguo.xiaole%7Cguo.xiaoling%7Cguo.xiaolei%7Cguo.xiaoli%7Cguo.xiling%7Cguo.xuelian%7Cguo.xiulan%7Cguo.xin-lei%7Cguo.xiaolin%7Cguo.xinglin%7Cguo.xiaolian%7Cguo.xianglin%7Cguo.xiaolong%7Cguo.xin-lan%7Cguo.xueliang%7Cguo.xiuli%7Cguo.xingli" title="Author Profile">Guo, X. L.</a>; <a href="/authors/?q=ai%3Azhao.chanjuan%7Czhao.chnag-jian%7Czhao.chujun-julia%7Czhao.chujun%7Czhao.chunjin%7Czhao.congjiang%7Czhao.chunjun%7Czhao.chengjie%7Czhao.changjiang%7Czhao.chunjiang%7Czhao.chunjie%7Czhao.chunjian%7Czhao.cun-jun" title="Author Profile">Zhao, C. J.</a>; <a href="/authors/?q=ai%3Ali.zhenwen%7Cli.zhengwei%7Cli.zhanwen%7Cli.zhaowen%7Cli.zongwei%7Cli.zhanwu%7Cli.zuwei%7Cli.zengwei%7Cli.zewei%7Cli.zhaowan%7Cli.zewen%7Cli.zhuwen%7Cli.zhiwu.1%7Cli.zhenwei%7Cli.zhongwen%7Cli.zhanwei%7Cli.zhongwei%7Cli.zuowu%7Cli.ziwei%7Cli.zhengwu%7Cli.zhiwen%7Cli.zhuowei%7Cli.zhenwu%7Cli.zheng-wen%7Cli.zhiwei" title="Author Profile">Li, Z. W.</a></div> <h3 class="title"> <a href="/1334.49058"><strong>On generalized \(\epsilon \)-subdifferential and radial epiderivative of set-valued mappings.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1334.49058">Zbl 1334.49058</a> </h3> <div class="source"> <a href="/serials/4920" title="Journal Profile">Optim. Lett.</a> <a href="/?q=in%3A333413" title="Articles in this Issue">8, No. 5, 1707-1720 (2014)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A7673">Nicolas Hadjisavvas (Nikaia)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A49J53" title="Set-valued and variational analysis">49J53</a> <a class="mono" href="/classification/?q=cc%3A90C48" title="Programming in abstract spaces">90C48</a> <a class="mono" href="/classification/?q=cc%3A49J52" title="Nonsmooth analysis">49J52</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1334.49058" data-ciurl="/ci/06377198" data-biburl="/bibtex/06377198.bib" data-amsurl="/amsrefs/06377198.bib" data-xmlurl="/xml/06377198.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06377198.pdf" title="Zbl 1334.49058 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11590-013-0691-9" aria-label="DOI for “On generalized \(\epsilon \)-subdifferential and radial epiderivative of set-valued mappings”" title="10.1007/s11590-013-0691-9">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6284268" value="6284268" aria-label="mark item Zbl 1320.90076"></div> <div class="author"><a href="/authors/liu.ben" title="Author Profile">Liu, Ben</a>; <a href="/authors/wang.kairong" title="Author Profile">Wang, Kairong</a></div> <h3 class="title"> <a href="/1320.90076"><strong>Second-order modified contingent epiderivatives in set-valued optimization.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1320.90076">Zbl 1320.90076</a> </h3> <div class="source"> <a href="/serials/609" title="Journal Profile">Numer. Funct. Anal. Optim.</a> <a href="/?q=in%3A331287" title="Articles in this Issue">35, No. 1, 50-67 (2014)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1320.90076" data-ciurl="/ci/06284268" data-biburl="/bibtex/06284268.bib" data-amsurl="/amsrefs/06284268.bib" data-xmlurl="/xml/06284268.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06284268.pdf" title="Zbl 1320.90076 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/01630563.2013.811689" aria-label="DOI for “Second-order modified contingent epiderivatives in set-valued optimization”" title="10.1080/01630563.2013.811689">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6194382" value="6194382" aria-label="mark item Zbl 1300.90063"></div> <div class="author"><a href="/authors/anh.nguyen-le-hoang" title="Author Profile">Anh, Nguyen Le Hoang</a>; <a href="/authors/phan-quoc-khanh." title="Author Profile">Khanh, Phan Quoc</a></div> <h3 class="title"> <a href="/1300.90063"><strong>Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1300.90063">Zbl 1300.90063</a> </h3> <div class="source"> <a href="/serials/1408" title="Journal Profile">J. Glob. Optim.</a> <a href="/?q=in%3A319325" title="Articles in this Issue">56, No. 2, 519-536 (2013)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A49J52" title="Nonsmooth analysis">49J52</a> <a class="mono" href="/classification/?q=cc%3A46G05" title="Derivatives of functions in infinite-dimensional spaces">46G05</a> <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1300.90063" data-ciurl="/ci/06194382" data-biburl="/bibtex/06194382.bib" data-amsurl="/amsrefs/06194382.bib" data-xmlurl="/xml/06194382.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06194382.pdf" title="Zbl 1300.90063 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10898-012-9861-z" aria-label="DOI for “Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives”" title="10.1007/s10898-012-9861-z">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6190709" value="6190709" aria-label="mark item Zbl 1273.90159"></div> <div class="author"><a href="/authors/khan.akhtar-ali" title="Author Profile">Khan, Akhtar A.</a>; <a href="/authors/tammer.christiane" title="Author Profile">Tammer, Christiane</a></div> <h3 class="title"> <a href="/1273.90159"><strong>Second-order optimality conditions in set-valued optimization via asymptotic derivatives.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1273.90159">Zbl 1273.90159</a> </h3> <div class="source"> <a href="/serials/1052" title="Journal Profile">Optimization</a> <a href="/?q=in%3A321543" title="Articles in this Issue">62, No. 6, 743-758 (2013)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C30" title="Nonlinear programming">90C30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1273.90159" data-ciurl="/ci/06190709" data-biburl="/bibtex/06190709.bib" data-amsurl="/amsrefs/06190709.bib" data-xmlurl="/xml/06190709.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06190709.pdf" title="Zbl 1273.90159 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/02331934.2012.674948" aria-label="DOI for “Second-order optimality conditions in set-valued optimization via asymptotic derivatives”" title="10.1080/02331934.2012.674948">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6121580" value="6121580" aria-label="mark item Zbl 1255.49029"></div> <div class="author"><a href="/authors/guo.xiaole" title="Author Profile">Guo, X. L.</a>; <a href="/authors/li.shengjie" title="Author Profile">Li, S. J.</a>; <a href="/authors/teo.kok-lay" title="Author Profile">Teo, K. L.</a></div> <h3 class="title"> <a href="/1255.49029"><strong>Subdifferential and optimality conditions for the difference of set-valued mappings.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1255.49029">Zbl 1255.49029</a> </h3> <div class="source"> <a href="/serials/2338" title="Journal Profile">Positivity</a> <a href="/?q=in%3A302374" title="Articles in this Issue">16, No. 2, 321-337 (2012)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A49J53" title="Set-valued and variational analysis">49J53</a> <a class="mono" href="/classification/?q=cc%3A49K40" title="Sensitivity, stability, well-posedness">49K40</a> <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C31" title="Sensitivity, stability, parametric optimization">90C31</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1255.49029" data-ciurl="/ci/06121580" data-biburl="/bibtex/06121580.bib" data-amsurl="/amsrefs/06121580.bib" data-xmlurl="/xml/06121580.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06121580.pdf" title="Zbl 1255.49029 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11117-011-0128-6" aria-label="DOI for “Subdifferential and optimality conditions for the difference of set-valued mappings”" title="10.1007/s11117-011-0128-6">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6111251" value="6111251" aria-label="mark item Zbl 1280.90095"></div> <div class="author"><a href="/authors/long.xianjun" title="Author Profile">Long, Xian-Jun</a>; <a href="/authors/peng.jianwen" title="Author Profile">Peng, Jian-Wen</a>; <a href="/authors/wong.mu-ming" title="Author Profile">Wong, Mu-Ming</a></div> <h3 class="title"> <a href="/1280.90095"><strong>Generalized radial epiderivatives and nonconvex set-valued optimization problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1280.90095">Zbl 1280.90095</a> </h3> <div class="source"> <a href="/serials/26" title="Journal Profile">Appl. Anal.</a> <a href="/?q=in%3A308646" title="Articles in this Issue">91, No. 10, 1891-1900 (2012)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A49J52" title="Nonsmooth analysis">49J52</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1280.90095" data-ciurl="/ci/06111251" data-biburl="/bibtex/06111251.bib" data-amsurl="/amsrefs/06111251.bib" data-xmlurl="/xml/06111251.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06111251.pdf" title="Zbl 1280.90095 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/00036811.2012.682057" aria-label="DOI for “Generalized radial epiderivatives and nonconvex set-valued optimization problems”" title="10.1080/00036811.2012.682057">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5964258" value="5964258" aria-label="mark item Zbl 1251.90386"></div> <div class="author"><a href="/authors/anh.nguyen-le-hoang" title="Author Profile">Le Hoang Anh, Nguyen</a>; <a href="/authors/phan-quoc-khanh." title="Author Profile">Khanh, Phan Quoc</a>; <a href="/authors/tung.le-thanh" title="Author Profile">Tung, Le Thanh</a></div> <h3 class="title"> <a href="/1251.90386"><strong>Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1251.90386">Zbl 1251.90386</a> </h3> <div class="source"> <a href="/serials/605" title="Journal Profile">Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods</a> <a href="/?q=in%3A287895" title="Articles in this Issue">74, No. 18, 7365-7379 (2011)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A49J52" title="Nonsmooth analysis">49J52</a> <a class="mono" href="/classification/?q=cc%3A46G05" title="Derivatives of functions in infinite-dimensional spaces">46G05</a> <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1251.90386" data-ciurl="/ci/05964258" data-biburl="/bibtex/05964258.bib" data-amsurl="/amsrefs/05964258.bib" data-xmlurl="/xml/05964258.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05964258.pdf" title="Zbl 1251.90386 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.na.2011.07.055" aria-label="DOI for “Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization”" title="10.1016/j.na.2011.07.055">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5735837" value="5735837" aria-label="mark item Zbl 1218.90163"></div> <div class="author"><a href="/authors/tuan.le-anh" title="Author Profile">Tuan, Le Anh</a></div> <h3 class="title"> <a href="/1218.90163"><strong>\(\varepsilon \)-optimality conditions for vector optimization problems with set-valued maps.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1218.90163">Zbl 1218.90163</a> </h3> <div class="source"> <a href="/serials/609" title="Journal Profile">Numer. Funct. Anal. Optim.</a> <a href="/?q=in%3A263381" title="Articles in this Issue">31, No. 1, 78-95 (2010)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1218.90163" data-ciurl="/ci/05735837" data-biburl="/bibtex/05735837.bib" data-amsurl="/amsrefs/05735837.bib" data-xmlurl="/xml/05735837.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05735837.pdf" title="Zbl 1218.90163 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/01630560903499845" aria-label="DOI for “\(\varepsilon \)-optimality conditions for vector optimization problems with set-valued maps”" title="10.1080/01630560903499845">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5593462" value="5593462" aria-label="mark item Zbl 1175.90316"></div> <div class="author"><a href="/authors/kasimbeyli.refail" title="Author Profile">Kasimbeyli, Refail</a></div> <h3 class="title"> <a href="/1175.90316"><strong>Radial epiderivatives and set-valued optimization.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1175.90316">Zbl 1175.90316</a> </h3> <div class="source"> <a href="/serials/1052" title="Journal Profile">Optimization</a> <a href="/?q=in%3A252384" title="Articles in this Issue">58, No. 5, 521-534 (2009)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A3198">Rainer E. Burkard (Graz)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A26E25" title="Set-valued functions">26E25</a> <a class="mono" href="/classification/?q=cc%3A46G05" title="Derivatives of functions in infinite-dimensional spaces">46G05</a> <a class="mono" href="/classification/?q=cc%3A49J52" title="Nonsmooth analysis">49J52</a> <a class="mono" href="/classification/?q=cc%3A65K10" title="Numerical optimization and variational techniques">65K10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1175.90316" data-ciurl="/ci/05593462" data-biburl="/bibtex/05593462.bib" data-amsurl="/amsrefs/05593462.bib" data-xmlurl="/xml/05593462.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05593462.pdf" title="Zbl 1175.90316 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/02331930902928310" aria-label="DOI for “Radial epiderivatives and set-valued optimization”" title="10.1080/02331930902928310">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5547280" value="5547280" aria-label="mark item Zbl 1189.90138"></div> <div class="author"><a href="/authors/phan-quoc-khanh." title="Author Profile">Khanh, P. Q.</a>; <a href="/authors/tuan.nguyen-dinh" title="Author Profile">Tuan, N. D.</a></div> <h3 class="title"> <a href="/1189.90138"><strong>Higher-order variational sets and higher-order optimality conditions for proper efficiency in set-valued nonsmooth vector optimization.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1189.90138">Zbl 1189.90138</a> </h3> <div class="source"> <a href="/serials/515" title="Journal Profile">J. Optim. Theory Appl.</a> <a href="/?q=in%3A234852" title="Articles in this Issue">139, No. 2, 243-261 (2008)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1189.90138" data-ciurl="/ci/05547280" data-biburl="/bibtex/05547280.bib" data-amsurl="/amsrefs/05547280.bib" data-xmlurl="/xml/05547280.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05547280.pdf" title="Zbl 1189.90138 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10957-008-9414-2" aria-label="DOI for “Higher-order variational sets and higher-order optimality conditions for proper efficiency in set-valued nonsmooth vector optimization”" title="10.1007/s10957-008-9414-2">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5047743" value="5047743" aria-label="mark item Zbl 1103.90089"></div> <div class="author"><a href="/authors/crespi.giovanni-paolo" title="Author Profile">Crespi, Giovanni P.</a>; <a href="/authors/ginchev.ivan-g" title="Author Profile">Ginchev, Ivan</a>; <a href="/authors/rocca.matteo" title="Author Profile">Rocca, Matteo</a></div> <h3 class="title"> <a href="/1103.90089"><strong>First-order optimality conditions in set-valued optimization.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1103.90089">Zbl 1103.90089</a> </h3> <div class="source"> <a href="/serials/2357" title="Journal Profile">Math. Methods Oper. Res.</a> <a href="/?q=in%3A122887" title="Articles in this Issue">63, No. 1, 87-106 (2006)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C30" title="Nonlinear programming">90C30</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A49J52" title="Nonsmooth analysis">49J52</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1103.90089" data-ciurl="/ci/05047743" data-biburl="/bibtex/05047743.bib" data-amsurl="/amsrefs/05047743.bib" data-xmlurl="/xml/05047743.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05047743.pdf" title="Zbl 1103.90089 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00186-005-0023-7" aria-label="DOI for “First-order optimality conditions in set-valued optimization”" title="10.1007/s00186-005-0023-7">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5070784" value="5070784" aria-label="mark item Zbl 1151.90536"></div> <div class="author"><a href="/authors/gadhi.nazih-abderrazzak" title="Author Profile">Gadhi, N.</a></div> <h3 class="title"> <a href="/1151.90536"><strong>Optimality conditions for the difference of convex set-valued mappings.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1151.90536">Zbl 1151.90536</a> </h3> <div class="source"> <a href="/serials/2338" title="Journal Profile">Positivity</a> <a href="/?q=in%3A122141" title="Articles in this Issue">9, No. 4, 687-703 (2005)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1151.90536" data-ciurl="/ci/05070784" data-biburl="/bibtex/05070784.bib" data-amsurl="/amsrefs/05070784.bib" data-xmlurl="/xml/05070784.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05070784.pdf" title="Zbl 1151.90536 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11117-005-2786-8" aria-label="DOI for “Optimality conditions for the difference of convex set-valued mappings”" title="10.1007/s11117-005-2786-8">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item2076601" value="2076601" aria-label="mark item Zbl 1168.90574"></div> <div class="author"><a href="/authors/khan.akhtar-ali" title="Author Profile">Khan, Akhtar A.</a>; <a href="/authors/raciti.fabio" title="Author Profile">Raciti, Fabio</a></div> <h3 class="title"> <a href="/1168.90574"><strong>A multiplier rule in set-valued optimisation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1168.90574">Zbl 1168.90574</a> </h3> <div class="source"> <a href="/serials/51" title="Journal Profile">Bull. Aust. Math. Soc.</a> <a href="/?q=in%3A97107" title="Articles in this Issue">68, No. 1, 93-100 (2003)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C30" title="Nonlinear programming">90C30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1168.90574" data-ciurl="/ci/02076601" data-biburl="/bibtex/02076601.bib" data-amsurl="/amsrefs/02076601.bib" data-xmlurl="/xml/02076601.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/02076601.pdf" title="Zbl 1168.90574 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1017/S0004972700037448" aria-label="DOI for “A multiplier rule in set-valued optimisation.”" title="10.1017/S0004972700037448">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1908062" value="1908062" aria-label="mark item Zbl 1134.90466"></div> <div class="author"><a href="/authors/jahn.johannes" title="Author Profile">Jahn, Johannes</a>; <a href="/authors/khan.akhtar-ali" title="Author Profile">Khan, Akhtar A.</a></div> <h3 class="title"> <a href="/1134.90466"><strong>Generalized contingent epiderivatives in set-valued optimization: Optimality conditions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1134.90466">Zbl 1134.90466</a> </h3> <div class="source"> <a href="/serials/609" title="Journal Profile">Numer. Funct. Anal. Optimization</a> <a href="/?q=in%3A89205" title="Articles in this Issue">23, No. 7-8, 807-831 (2002)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A49J52" title="Nonsmooth analysis">49J52</a> <a class="mono" href="/classification/?q=cc%3A90C29" title="Multi-objective and goal programming">90C29</a> <a class="mono" href="/classification/?q=cc%3A90C30" title="Nonlinear programming">90C30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" 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