Solving Integral Equation and Homotopy Result via Fixed Point Method

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

Mathematics, 2023, vol. 11, issue 21, 1-19

Abstract: The aim of the present research article is to investigate the existence and uniqueness of a solution to the integral equation and homotopy result. To achieve our objective, we introduce the notion of ( α , η , ψ )-contraction in the framework of F -bipolar metric space and prove some fixed point results for covariant and contravariant mappings. Some coupled fixed point results in F -bipolar metric space are derived as outcomes of our principal theorems. A non-trivial example is also provided to validate the authenticity of the established results.

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