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

Khursheed J. Ansari, Salvatore Sessa () and Aftab Alam ()
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Khursheed J. Ansari: Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Salvatore Sessa: Department of Architecture, University of Naples Federico II, 80134 Naples, Italy
Aftab Alam: Centre of Professional Courses, Aligarh Muslim University, Aligarh 202002, India

Mathematics, 2023, vol. 11, issue 15, 1-11

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.

Keywords: binary relations; fixed points; functional contractions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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