Document Zbl 1522.90221

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Malays. Math. Sci. Soc. (2)</a> <a href="/?q=in%3A490639" title="Articles in this Issue">46, No. 2, Paper No. 75, 17 p. (2023)</a>. </div> <div class="abstract">Summary: In this paper, we focus our study on a multi-dimensional fractional control optimization problem involving data uncertainty (FP) and derive the parametric robust necessary optimality conditions and its sufficiency by imposing the convexity hypotheses on the involved functionals. We also construct the parametric robust dual problem associated with the above-considered problem (FP) and establish the weak and strong robust duality theorems. The strong robust duality theorem asserts that the duality gap is zero under the convexity notion. In addition, we formulate some examples to validate the stated conclusions.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7659726">Cited in <strong>2</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A90C32" title="MSC2020">90C32</a> </td> <td class="space"> Fractional programming </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A90C46" title="MSC2020">90C46</a> </td> <td class="space"> Optimality conditions and duality in mathematical programming </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A90C17" title="MSC2020">90C17</a> </td> <td class="space"> Robustness in mathematical programming </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Afractional+control+optimization+problem">fractional control optimization problem</a>; <a href="/?q=ut%3Auncertainty">uncertainty</a>; <a href="/?q=ut%3Arobust+optimality+conditions">robust optimality conditions</a>; <a href="/?q=ut%3Arobust+duality">robust duality</a>; <a href="/?q=ut%3Arobust+optimal+solution">robust optimal solution</a></div>  <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">×</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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1522.90221" data-ciurl="/ci/07659726" data-biburl="/bibtex/07659726.bib" data-amsurl="/amsrefs/07659726.bib" data-xmlurl="/xml/07659726.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659726.pdf" title="Zbl 1522.90221 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/s40840-023-01469-3" aria-label="DOI for “Robust approach for uncertain multi-dimensional fractional control optimization problems”" title="10.1007/s40840-023-01469-3">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Antczak, T., Parametric approach for approximate efficiency of robust multiobjective fractional programming problems, Math. 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Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. 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