Fixed Point Results in F -Bipolar Metric Spaces with Applications

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

Mathematics, 2023, vol. 11, issue 10, 1-14

Abstract: The aim of this research article is to obtain fixed point results in the context of F -bipolar metric spaces. The obtained results extend some fixed point theorems in the existing literature. We also provide a non-trivial example to validate our claims. The existence and uniqueness of the solution of the integral equation are proved as applications of our leading results. Furthermore, the existence of the unique solution in homotopy theory is also investigated.

Keywords: fixed point; F -bipolar metric space; generalized contraction; integral equation; homotopy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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