A Class of Relational Functional Contractions with Applications to Nonlinear Integral Equations-Reference-Cited by-同舟云学术

A Class of Relational Functional Contractions with Applications to Nonlinear Integral Equations

Published:2023-08-04 Issue:15 Volume:11 Page:3408
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Ansari Khursheed J.¹^ORCID,Sessa Salvatore²^ORCID,Alam Aftab³^ORCID

Affiliation:

1. Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

2. Department of Architecture, University of Naples Federico II, 80134 Naples, Italy

3. Centre of Professional Courses, Aligarh Muslim University, Aligarh 202002, India

Abstract

In this article, we investigate some fixed-point results under certain functional contractive mappings in a relation metric space. In the process, we utilize more general contraction condition which must be verified for comparative elements only. Our results enrich, modify, refine, unify and sharpen several existing fixed-point results. We construct some examples in support of our results. To attest to the applicability of our results, we establish the existence and uniqueness of theorems regarding the solutions of certain nonlinear integral equations.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/15/3408/pdf

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