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http://dx.doi.org/10.22771/nfaa.2021.26.02.03

𝜓-COUPLED FIXED POINT THEOREM VIA SIMULATION FUNCTIONS IN COMPLETE PARTIALLY ORDERED METRIC SPACE AND ITS APPLICATIONS  

Das, Anupam (Department of Mathematics, Cotton University, Department of Mathematics, Rajiv Gandhi University)
Hazarika, Bipan (Department of Mathematics, Guwahati University)
Nashine, Hemant Kumar (Applied Analysis Research Group, Faculty of Mathematics and Statistics Ton Duc Thang University)
Kim, Jong Kyu (Department of Mathematics Education, Kyungnam University)
Publication Information
Nonlinear Functional Analysis and Applications / v.26, no.2, 2021 , pp. 273-288 More about this Journal
Abstract
We proposed to give some new 𝜓-coupled fixed point theorems using simulation function coupled with other control functions in a complete partially ordered metric space which includes many related results. Further we prove the existence of solution of a fractional integral equation by using this fixed point theorem and explain it with the help of an example.
Keywords
${\psi}$-coupled fixed point; modified F-control function; integral equations;
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