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Research Article | Open Access

Fixed point results in b-metric spaces with applications to integral equations

Badriah Alamri, Jamshaid Ahmad( )
University of Jeddah, College of Science, Department of Mathematics, Jeddah, Saudi Arabia; baalamri@uj.edu.sa; jkhan@uj.edu.sa
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Abstract

The purpose of this article is to obtain common fixed point results in b-metric spaces for generalized rational contractions involving control functions of two variables. We provide an example to show the originality of our main result. As outcomes of our results, we derive certain fixed and common fixed point results for rational contractions presuming control functions of one variable and constants. As an application, we investigate the solution of an integral equation.

Keywords

common fixed pointb-metric spacecontrol functionsgeneralized contractionintegral equation
CLC number: 46S40, 47H10, 54H25

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 9443-9460
DOI: 10.3934/math.2023476

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Cite this article:
Alamri B, Ahmad J. Fixed point results in b-metric spaces with applications to integral equations. AIMS Mathematics, 2023, 8(4): 9443-9460. https://doi.org/10.3934/math.2023476

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Received: 10 December 2023
Revised: 28 January 2023
Accepted: 02 February 2023
Published: 15 April 2023
©2023 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)