Relation-Theoretic Weak Contractions and Applications

Asik Hossain, Aftab Alam (), Salvatore Sessa () and Qamrul Haque Khan
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Asik Hossain: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Aftab Alam: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Salvatore Sessa: Department of Architecture, University of Naples Federico II, Via Toledo 402, 80134 Naples, Italy
Qamrul Haque Khan: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Mathematics, 2023, vol. 11, issue 9, 1-15

Abstract: In this article, we discuss the relation-theoretic aspects of weakly contractive mappings to prove fixed point results in the setting of metric spaces endowed with a certain binary relation. We also provide an example and an application to validate of our results. The results proved herewith unify, generalize, improve, extend, sharpen, subsume and enrich some well-known fixed point theorems of the existing literature.

Keywords: binary relations; (?,?)-completeness; weak contractions; matrix equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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