Solving Integral Equation and Homotopy Result via Fixed Point Method

Author:

Alamri Badriah1

Affiliation:

1. Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 23218, Saudi Arabia

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference24 articles.

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4. Sur quelques points du calcul fonctionnel;Frechet;Rend. Circ. Mat. Palermo,1906

5. Contraction mappings in b-metric spaces;Czerwik;Acta Math. Inform. Univ. Ostra.,1993

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