Document Zbl 1250.54046

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J.</a>; <a href="/authors/kadelburg.zoran" title="Author Profile">Kadelburg, Z.</a>; <a href="/authors/saadati.reza" title="Author Profile">Saadati, R.</a>; <a href="/authors/shatanawi.wasfi-a" title="Author Profile">Shatanawi, W.</a></div> <h2 class="title"> <strong>Coupled fixed point theorems under weak contractions.</strong> <i>(English)</i> <a class="label nowrap" href="/1250.54046">Zbl 1250.54046</a> </h2> <div class="source"> <a href="/serials/2498" title="Journal Profile">Discrete Dyn. Nat. Soc.</a> <a href="/?q=in%3A296419" title="Articles in this Issue">2012, Article ID 184534, 9 p. (2012)</a>. </div> <div class="abstract">Summary: <span class="zbmathjax-textit">Y. J. Cho</span>, <span class="zbmathjax-textit">R. Saadati</span> and <span class="zbmathjax-textit">S.-H. Wang</span> [Comput. Math. Appl. 61, No. 4, 1254–1260 (2011; <a href="/1217.54041">Zbl 1217.54041</a>)] studied common fixed point theorems on cone metric spaces by using the concept of $c$-distance. In this paper, we prove some coupled fixed point theorems in ordered cone metric spaces by using the concept of $c$-distance in cone metric spaces.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A6065412">Cited in <strong>1</strong> Review</a></div><div class="clear"><a href="/?q=rf%3A6065412">Cited in <strong>20</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></table> </div><div class="keywords"> <h3>Citations:</h3><a href="/1217.54041">Zbl 1217.54041</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 1250.54046" data-ciurl="/ci/06065412" data-biburl="/bibtex/06065412.bib" data-amsurl="/amsrefs/06065412.bib" data-xmlurl="/xml/06065412.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06065412.pdf" title="Zbl 1250.54046 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/10.1155/2012/184534" aria-label="DOI for “Coupled fixed point theorems under weak contractions”" title="10.1155/2012/184534">DOI</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> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">L. 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Wang, “Common fixed point theorems on generalized distance in ordered cone metric spaces,” Computers & Mathematics with Applications, vol. 61, no. 4, pp. 1254-1260, 2011. · <a href="/1217.54041" class="nowrap">Zbl 1217.54041</a> · <a href="https://doi.org/10.1016/j.camwa.2011.01.004" class="nowrap">doi:10.1016/j.camwa.2011.01.004</a></td> </tr><tr> <td>[8]</td> <td class="space">E. Graily, S. M. Vaezpour, R. Saadati, and Y. J. Cho, “Generalization of fixed point theorems in ordered metric spaces concerning generalized distance,” Fixed Point Theory and Applications, vol. 2011, p. 30, 2011. · <a href="/1270.54041" class="nowrap">Zbl 1270.54041</a> · <a href="https://doi.org/10.1186/1687-1812-2011-30" class="nowrap">doi:10.1186/1687-1812-2011-30</a></td> </tr><tr> <td>[9]</td> <td class="space">D. Ilić and V. Rako, “Common fixed points for maps on cone metric space,” Journal of Mathematical Analysis and Applications, vol. 341, no. 2, pp. 876-882, 2008. · <a href="/1156.54023" class="nowrap">Zbl 1156.54023</a> · <a href="https://doi.org/10.1016/j.jmaa.2007.10.065" class="nowrap">doi:10.1016/j.jmaa.2007.10.065</a></td> </tr><tr> <td>[10]</td> <td class="space">S. Janković, Z. Kadelburg, and S. Radenović, “On cone metric spaces: a survey,” Nonlinear Analysis. Theory, Methods & Applications, vol. 74, no. 7, pp. 2591-2601, 2011. · <a href="/1221.54059" class="nowrap">Zbl 1221.54059</a> · <a href="https://doi.org/10.1016/j.na.2010.12.014" class="nowrap">doi:10.1016/j.na.2010.12.014</a></td> </tr><tr> <td>[11]</td> <td class="space">Z. Kadelburg, M. Pavlović, and S. Radenović, “Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces,” Computers & Mathematics with Applications, vol. 59, no. 9, pp. 3148-3159, 2010. · <a href="/1193.54035" class="nowrap">Zbl 1193.54035</a> · <a href="https://doi.org/10.1016/j.camwa.2010.02.039" class="nowrap">doi:10.1016/j.camwa.2010.02.039</a></td> </tr><tr> <td>[12]</td> <td class="space">S. Radenović and B. E. Rhoades, “Fixed point theorem for two non-self mappings in cone metric spaces,” Computers & Mathematics with Applications, vol. 57, no. 10, pp. 1701-1707, 2009. · <a href="/1186.65073" class="nowrap">Zbl 1186.65073</a> · <a href="https://doi.org/10.1016/j.camwa.2009.03.058" class="nowrap">doi:10.1016/j.camwa.2009.03.058</a></td> </tr><tr> <td>[13]</td> <td class="space">W. Sintunavarat, Y. J. Cho, and P. Kumam, “Common fixed point theorems for c-distance in ordered cone metric spaces,” Computers and Mathematics with Applications, vol. 62, no. 4, pp. 1969-1978, 2011. · <a href="/1231.54028" class="nowrap">Zbl 1231.54028</a> · <a href="https://doi.org/10.1016/j.camwa.2011.06.040" class="nowrap">doi:10.1016/j.camwa.2011.06.040</a></td> </tr><tr> <td>[14]</td> <td class="space">D. Turkoglu and M. Abuloha, “Cone metric spaces and fixed point theorems in diametrically contractive mappings,” Acta Mathematica Sinica, vol. 26, no. 3, pp. 489-496, 2010. · <a href="/1203.54049" class="nowrap">Zbl 1203.54049</a> · <a href="https://doi.org/10.1007/s10114-010-8019-5" class="nowrap">doi:10.1007/s10114-010-8019-5</a></td> </tr><tr> <td>[15]</td> <td class="space">D. Turkoglu, M. Abuloha, and T. Abdeljawad, “KKM mappings in cone metric spaces and some fixed point theorems,” Nonlinear Analysis. Theory, Methods & Applications, vol. 72, no. 1, pp. 348-353, 2010. · <a href="/1197.54076" class="nowrap">Zbl 1197.54076</a> · <a href="https://doi.org/10.1016/j.na.2009.06.058" class="nowrap">doi:10.1016/j.na.2009.06.058</a></td> </tr><tr> <td>[16]</td> <td class="space">T. G. Bhaskar and V. Lakshmikantham, “Fixed point theorems in partially ordered metric spaces and applications,” Nonlinear Analysis. Theory, Methods & Applications, vol. 65, no. 7, pp. 1379-1393, 2006. · <a href="/1106.47047" class="nowrap">Zbl 1106.47047</a> · <a href="https://doi.org/10.1016/j.na.2005.10.017" class="nowrap">doi:10.1016/j.na.2005.10.017</a></td> </tr><tr> <td>[17]</td> <td class="space">Y. J. Cho, G. He, and N.-j. Huang, “The existence results of coupled quasi-solutions for a class of operator equations,” Bulletin of the Korean Mathematical Society, vol. 47, no. 3, pp. 455-465, 2010. · <a href="/1200.47075" class="nowrap">Zbl 1200.47075</a> · <a href="https://doi.org/10.4134/BKMS.2010.47.3.455" class="nowrap">doi:10.4134/BKMS.2010.47.3.455</a></td> </tr><tr> <td>[18]</td> <td class="space">Y. J. Cho, M. H. Shah, and N. Hussain, “Coupled fixed points of weakly F-contractive mappings in topological spaces,” Applied Mathematics Letters, vol. 24, no. 7, pp. 1185-1190, 2011. · <a href="/1214.54033" class="nowrap">Zbl 1214.54033</a> · <a href="https://doi.org/10.1016/j.aml.2011.02.004" class="nowrap">doi:10.1016/j.aml.2011.02.004</a></td> </tr><tr> <td>[19]</td> <td class="space">M. E. Gordji, Y. J. Cho, and H. Baghani, “Coupled fixed point theorems for contractions in intuitionistic fuzzy normed spaces,” Mathematical and Computer Modelling, vol. 54, no. 9-10, pp. 1897-1906, 2011. · <a href="/1235.47094" class="nowrap">Zbl 1235.47094</a> · <a href="https://doi.org/10.1016/j.mcm.2011.04.014" class="nowrap">doi:10.1016/j.mcm.2011.04.014</a></td> </tr><tr> <td>[20]</td> <td class="space">W. Sintunavarat, Y. J. Cho, and P. Kumam, “Coupled coincidence point theorems for contractions without commutative condition in intuitionistic fuzzy normed spaces,” Fixed Point Theory and Applications, vol. 2011, p. 81, 2011. · <a href="/1315.47049" class="nowrap">Zbl 1315.47049</a></td> </tr><tr> <td>[21]</td> <td class="space">V. Lakshmikantham and L. Cirić, “Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces,” Nonlinear Analysis. 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