Well-Posedness Scheme for Coupled Fixed-Point Problems Using Generalized Contractions-Reference-Cited by-同舟云学术

Well-Posedness Scheme for Coupled Fixed-Point Problems Using Generalized Contractions

Published:2023-05-26 Issue:6 Volume:12 Page:523
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Sagheer Dur-e-Shehwar¹^ORCID,Urooj Isma¹,Batul Samina¹^ORCID,Aloqaily Ahmad²³^ORCID,Mlaiki Nabil³^ORCID

Affiliation:

1. Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan

2. School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney 2150, Australia

3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Abstract

In this study, we present a more general class of rational-type contractions in the domain of Hilbert spaces, along with a novel coupled implicit relation. We develop several intriguing results and consequences for the existence of unique coupled fixed points. Further, we investigate a necessary condition that guarantees the well-posedness of a coupled fixed-point problem of self-mappings in Hilbert spaces. Some new observations proposed in this research broaden and extend previously published results in the literature.

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2075-1680/12/6/523/pdf

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