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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… Click to show full 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.
Keywords:
fixed point;
posedness scheme;
scheme coupled;
coupled fixed;
well posedness
Journal Title: Axioms
Year Published: 2023
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Journal Title: Axioms
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!