Solving Integral Equation and Homotopy Result via Fixed Point Method

Autor: Badriah Alamri
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics, Vol 11, Iss 21, p 4408 (2023)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math11214408
Popis: 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.
Databáze: Directory of Open Access Journals