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Research Article | Open Access

Common fixed points of locally contractive mappings in bicomplex valued metric spaces with application to Urysohn integral equation

Nabil Mlaiki1, Jamshaid Ahmad2( ), Abdullah Eqal Al-Mazrooei3, Dania Santina4
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia
Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Abstract

The aim of this article is to obtain common fixed points of locally contractive mappings in the setting of bicomplex valued metric spaces. Our investigations generalize some conventional theorems of literature. Furthermore, we supply a significant example to manifest the authenticity of the proved results. As an application, we solve the solution of the integral equation by using our main result.

Keywords

common fixed pointbicomplex valued metric spaceclosed ballgeneralized contractionsUrysohn integral equation
CLC number: 46S40, 54H25, 47H10

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 3897-3912
DOI: 10.3934/math.2023194

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Cite this article:
Mlaiki N, Ahmad J, Al-Mazrooei AE, et al. Common fixed points of locally contractive mappings in bicomplex valued metric spaces with application to Urysohn integral equation. AIMS Mathematics, 2023, 8(2): 3897-3912. https://doi.org/10.3934/math.2023194

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Received: 21 September 2022
Revised: 17 November 2022
Accepted: 23 November 2022
Published: 15 February 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)