Common Fixed Point Results in Bicomplex Valued Metric Spaces with Application

Amer Hassan Albargi, Amnah Essa Shammaky and Jamshaid Ahmad ()
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Amer Hassan Albargi: Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Amnah Essa Shammaky: Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia
Jamshaid Ahmad: Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia

Mathematics, 2023, vol. 11, issue 5, 1-20

Abstract: The purpose of this paper is to establish common fixed points of six mappings in the context of bicomplex valued metric spaces. In this way, we generalize some previous well-known results from the literature. Moreover, we provide a non-trivial example to demonstrate the authenticity of established outcomes. As an application, we investigate the solution of an Urysohn integral equation by applying our results.

Keywords: common fixed point; generalized contractions; bicomplex valued metric space; Urysohn integral equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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