Fixed Point Theory in Bicomplex Metric Spaces: A New Framework with Applications

Badriah Alamri ()
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Badriah Alamri: Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 23218, Saudi Arabia

Mathematics, 2024, vol. 12, issue 11, 1-20

Abstract: This paper investigates the existence of common fixed points for mappings satisfying generalized rational type contractive conditions in the framework of bicomplex valued metric spaces. Our findings extend well-established results in the existing literature. As an application of our leading result, we explore the existence and uniqueness of solutions of the Volttera integral equation of the second kind.

Keywords: common fixed point; bicomplex valued metric space; generalized contractive condition; Volterra integral equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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