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arXiv · 2609.04586

Fixed Point Theorems for Paired Contractive Mappings in b-Metric Spaces

Hezekiah Seun Adewinbi
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Abstract

In this paper, we introduce the notion of paired-Chatterjea contraction for single-valued mappings in b-metric spaces and establish several fixed point theorems under this contractive condition. We demonstrate that every Chatterjea-type contraction is a paired-Chatterjea contraction, while the converse implication does not hold, thereby showing that the latter class properly extends the former. Additionally, we investigate fixed point results for paired and paired-Kannan contractions in b-metric spaces. Several concrete examples are provided to illustrate the applicability and sharpness of the obtained results. Our findings extend and generalize a number of existing fixed point theorems in the literature.

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BibTeXRIS

Hezekiah Seun Adewinbi. 2026-09-04. Fixed Point Theorems for Paired Contractive Mappings in b-Metric Spaces. https://arxiv.org/abs/2609.04586

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