Solving an integral equation via orthogonal generalized α-ψ-Geraghty contractions

Abstract

In this paper, we introduce orthogonal generalized O-α-ψ-Geraghty contractive type mappings and prove some fixed point theorems in O-complete O-b-metric spaces. We also provide an illustrative example to support our theorem. The results proved here will be utilized to show the existence of a solution to an integral equation as an application.

Keywords

• o-b-metric space
• fixed point
• o-α-admissible
• orthogonal generalized o-α-ψ-geraghty contraction