Perimetric contraction on quadrilaterals and related fixed point results
Functional Analysis
2024-07-11 v1
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.
Cite
@article{arxiv.2407.07542,
title = {Perimetric contraction on quadrilaterals and related fixed point results},
author = {Anish Banerjee and Pratikshan Mondal and Lakshmi Kanta Dey},
journal= {arXiv preprint arXiv:2407.07542},
year = {2024}
}
Comments
18-pages