Relational Quasicontractions and Related Fixed Point Theorems

In this article, some results on fixed points under quasicontractions in the framework of metric space endowed with binary relation are proved. Our newly proved results improve and extend several noted fixed point theorems of the existing literature besides their relation-theoretic analogues. We con...

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Bibliographic Details
Main Authors: Nidal H. E. Eljaneid, Faizan A. Khan, Hamid I. A. Mohammed, Aftab Alam
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/4477660
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Summary:In this article, some results on fixed points under quasicontractions in the framework of metric space endowed with binary relation are proved. Our newly proved results improve and extend several noted fixed point theorems of the existing literature besides their relation-theoretic analogues. We conclude this article by constructing an example to affirm the efficacy of our results.
ISSN:2314-4785