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arXiv · 2407.07542

Perimetric contraction on quadrilaterals and related fixed point results

Anish Banerjee·Pratikshan Mondal·Lakshmi Kanta Dey
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Abstract

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.

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Anish Banerjee, Pratikshan Mondal, Lakshmi Kanta Dey. 2024-07-10. Perimetric contraction on quadrilaterals and related fixed point results. https://arxiv.org/abs/2407.07542

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