Perimetric contraction on quadrilaterals and related fixed point results

In this article, we introduce a four-point analogue of Banach-type, Kannan-type, and Chatterjea-type contractions, and examine their properties. We establish sufficient conditions under which these mappings achieve fixed points in a complete metric space. Notably, the classical Banach contraction pr...

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Bibliographic Details
Published in:arXiv.org 2024-07
Main Authors: Banerjee, Anish, Mondal, Pratikshan, Dey, Lakshmi Kanta
Format: Article
Language:English
Subjects:
Metric space
Quadrilaterals
Online Access:Get full text
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Summary:In this article, we introduce a four-point analogue of Banach-type, Kannan-type, and Chatterjea-type contractions, and examine their properties. We establish sufficient conditions under which these mappings achieve fixed points in a complete metric space. Notably, the classical Banach contraction principle emerges as a special case of our results. To illustrate our theoretical findings, we present several non-trivial examples.
ISSN:2331-8422