Document Zbl 1489.54121

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Fixed Point Theory Appl.</a> <a href="/?q=in%3A418578" title="Articles in this Issue">20, No. 3, Paper No. 106, 24 p. (2018)</a>. </div> <div class="abstract">Summary: The motive behind this manuscript is to set up the existence and uniqueness of positive solutions to a fractional thermostat model for certain values of the parameter $\lambda >0$. We accomplish sufficient conditions for the existence of positive solutions to the model, and afterwards formulate a couple of non-trivial examples to authenticate the grounds of our obtained results. Our findings are based on certain fixed point results for contractions depending on a couple of altering distance functions $\phi $ and $\psi $ in the setting of Banach spaces.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6969097">Cited in <strong>7</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A54H25" title="MSC2020">54H25</a> </td> <td class="space"> Fixed-point and coincidence theorems (topological aspects) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A47H10" title="MSC2020">47H10</a> </td> <td class="space"> Fixed-point theorems </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aaltering+distance+function">altering distance function</a>; <a href="/?q=ut%3Afixed+point">fixed point</a>; <a href="/?q=ut%3ABanach+space">Banach space</a>; <a href="/?q=ut%3Adouble+sequence">double sequence</a>; <a href="/?q=ut%3Athermostat+model">thermostat model</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 1489.54121" data-ciurl="/ci/06969097" data-biburl="/bibtex/06969097.bib" data-amsurl="/amsrefs/06969097.bib" data-xmlurl="/xml/06969097.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06969097.pdf" title="Zbl 1489.54121 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/s11784-018-0584-8" aria-label="DOI for “Positive solutions to a fractional thermostat model in Banach spaces via fixed point results”" title="10.1007/s11784-018-0584-8">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1710.01464"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Agarwal, RP; El-Gebeily, MA; O’Regan, D., Generalized contractions in partially ordered metric spaces, Appl. 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