Relation-Theoretic Fixed Point Theorems Involving Certain Auxiliary Functions with Applications

Author:

Altaweel Nifeen Hussain,Khan Faizan AhmadORCID

Abstract

This article includes some fixed point results for (φ,ψ,θ)-contractions in the context of metric space endowed with a locally H-transitive relation. We constructed an example for attesting to the credibility of our results. We also discussed the existence and uniqueness of the solution of a Fredholm integral equation using our results.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference53 articles.

1. A fixed point theorem in partially ordered sets and some applications to matrix equations;Ran;Proc. Am. Math. Soc.,2004

2. Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations;Nieto;Order,2005

3. Abstract comparison principles and multivariable Gronwall-Bellman inequalities;Turinici;J. Math. Anal. Appl.,1986

4. Fixed points for monotone iteratively local contractions;Turinici;Dem. Math.,1986

5. Relation-theoretic contraction principle;Alam;J. Fixed Point Theory Appl.,2015

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