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

Anupam Das, Bipan Hazarika, Hemant Kumar Nashine, Jong Kyu Kim

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.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)