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arXiv · 2510.11975

Fixed Point Theory For Singh-Chatterjea Type Contractive Mappings

Zouaoui Bekri·Nicola Fabiano
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Abstract

In this paper, we introduce a new contraction condition that combines the framework of Singh's extension with the classical Chatterjea contraction. This generalized form, called the Singh-Chatterjea contraction, is defined on the p-th iterate of a mapping. We establish fixed point theorems for such mappings in complete metric spaces and show that our results extend and unify both Singh's and Chatterjea's classical fixed point theorems. Illustrative examples and a simple numerical implementation are provided to demonstrate the applicability of the obtained results.

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BibTeXRIS

Zouaoui Bekri, Nicola Fabiano. 2025-10-13. Fixed Point Theory For Singh-Chatterjea Type Contractive Mappings. https://arxiv.org/abs/2510.11975

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