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

Afrah Ahmad Noman Abdou; Ebtisam Salem Alharbi; Jamshaid Ahmad; Afrah Ahmad Noman Abdou; Ebtisam Salem Alharbi; Jamshaid Ahmad

doi:10.3934/math.2023897

AIMS Mathematics

2023, Volume 8, Issue 8: 17585-17602. doi: 10.3934/math.2023897

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Research article

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

Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia

Received: 01 February 2023 Revised: 30 April 2023 Accepted: 07 May 2023 Published: 23 May 2023
MSC : 46S40, 47H10, 54H25

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.
- common fixed point,
- Urysohn integral equations,
- closed ball,
- generalized contractions
Citation: Afrah Ahmad Noman Abdou, Ebtisam Salem Alharbi, Jamshaid Ahmad. Solving Urysohn integral equations by common fixed point results in complex valued metric spaces[J]. AIMS Mathematics, 2023, 8(8): 17585-17602. doi: 10.3934/math.2023897

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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.

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