A Relation-Theoretic Metrical Fixed Point Theorem for Rational Type Contraction Mapping with an Application-Reference-Cited by-同舟云学术

A Relation-Theoretic Metrical Fixed Point Theorem for Rational Type Contraction Mapping with an Application

Published:2021-11-23 Issue:4 Volume:10 Page:316
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Hossain Asik,Khan Faizan Ahmad,Khan Qamrul Haq

Abstract

In this article, we discuss the relation theoretic aspect of rational type contractive mapping to obtain fixed point results in a complete metric space under arbitrary binary relation. Furthermore, we provide an application to find a solution to a non-linear integral equation.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/10/4/316/pdf

Reference28 articles.

1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

2. Partial Metric Topology

3. On nonlinear contractions

4. On the Convergence of Successive Approximations for Nonlinear Functional Equations

5. Fixed point theory in partial metric spaces via φ-fixed point’s concept in metric spaces

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