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Research Article | Open Access

Common fixed point theorems on complex valued extended b-metric spaces for rational contractions with application

Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
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Abstract

The purpose of this article is to establish common fixed point results on complex valued extended b-metric spaces for the mappings satisfying rational expressions on a closed ball. Our investigations generalize some well-known results of literature. Furthermore, we supply a significant example to show the authenticity of established results. As application, we solve Urysohn integral equations by our main results.

Keywords

common fixed pointcomplex valued extended b-metric spacerational expressionsclosed ball
CLC number: 37C25, 47H10, 54H25

References

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AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 1360-1374
DOI: 10.3934/math.2023068

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Cite this article:
Albargi AH. Common fixed point theorems on complex valued extended b-metric spaces for rational contractions with application. AIMS Mathematics, 2023, 8(1): 1360-1374. https://doi.org/10.3934/math.2023068

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Received: 17 August 2022
Revised: 15 September 2022
Accepted: 19 September 2022
Published: 15 January 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)