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Theory Article | Open Access

Another Meir-Keeler-type nonlinear contractions

Daniel Francis1,2Godwin Amechi Okeke2Aviv Gibali3( )
Department of Mathematics, Collage of Physical and Applied Sciences, Michael Okpara University of Agriculture Umudike, P.M.B 7267, Abia State, Nigeria
Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology, Owerri, P.M.B. 1526 Imo State, Nigeria
Department of Applied Mathematics, Holon institute of Technology, Holon, Israel
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Abstract

This paper deals with the concept of α- v ^ - A- B- C-Meir-Keeler type nonlinear contractions, a new class mappings within the of modular extended b-metric spaces. We establish common unique fixed-point theorems that generalize, unify, and extend several key results in modular b-metric and modular extended b-metric spaces. These theorems bridge the gap between classical and contemporary fixed-point theories, showcasing broader applicability in nonlinear analysis. To ensure clarity and practical relevance, a detailed example is presented, further validating the theoretical findings. This work provides some level of understanding of the space under investigation and sets the stage for future developments in this evolving domain.

CLC number: 47H09, 47H10, 47H30

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AIMS Mathematics
Pages 7591-7635

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Cite this article:
Francis D, Okeke GA, Gibali A. Another Meir-Keeler-type nonlinear contractions. AIMS Mathematics, 2025, 10(4): 7591-7635. https://doi.org/10.3934/math.2025349

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Received: 28 January 2025
Revised: 16 March 2025
Accepted: 20 March 2025
Published: 15 April 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)