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Research Article | Open Access

Best proximity point of α- η-type generalized F-proximal contractions in modular metric spaces

Yao Yu1, Chaobo Li2( ), Dong Ji1,2
Department of Mathematics, Harbin University, Harbin 150086, China
Department of Mathematics, Harbin University of Science and Technology, Harbin, 150080, China
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Abstract

The purpose of this paper is to present a study of α- η-type generalized F-proximal contraction mappings in the framework of modular metric spaces and to prove some best proximity point theorems for these types of mappings. Some examples are given to show the validity of our results. We also apply our results to establish the existence of solutions for a certain type of non-linear integral equation.

Keywords

best proximity pointmodular metric spacegeneralized F-proximal contractionsuniform approximation
CLC number: 47H10, 54H25

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 8940-8960
DOI: 10.3934/math.2024436

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Cite this article:
Yu Y, Li C, Ji D. Best proximity point of α- η-type generalized F-proximal contractions in modular metric spaces. AIMS Mathematics, 2024, 9(4): 8940-8960. https://doi.org/10.3934/math.2024436

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Received: 20 December 2023
Revised: 16 February 2024
Accepted: 22 February 2024
Published: 15 April 2024
©2024 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)