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Research Article | Open Access

Solving Urysohn integral equations by common fixed point results in complex valued metric spaces

Afrah Ahmad Noman Abdou( ), Ebtisam Salem Alharbi, Jamshaid Ahmad
Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia
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Abstract

The purpose of this article is to investigate the existence of solutions for Urysohn integral equations. To achieve our objectives, we take advantage of common fixed point results for self-mappings satisfying a generalized contraction involving control functions of two variables in the context of complex valued metric spaces. We also supply a non-trivial example to show the validity of obtained results.

Keywords

common fixed pointUrysohn integral equationsclosed ballgeneralized contractions
CLC number: 46S40, 47H10, 54H25

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AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 17585-17602
DOI: 10.3934/math.2023897

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Cite this article:
Abdou AAN, Alharbi ES, Ahmad J. Solving Urysohn integral equations by common fixed point results in complex valued metric spaces. AIMS Mathematics, 2023, 8(8): 17585-17602. https://doi.org/10.3934/math.2023897

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Received: 01 February 2023
Revised: 30 April 2023
Accepted: 07 May 2023
Published: 15 August 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)