On generalized α-ψ-Geraghty contractions on b-metric spaces

Abstract

In this paper, we consider generalized {\alpha-\psi} -Geraghty contractive type mappings and investigate the existence and uniqueness of a fixed point for mappings involving such contractions. In particular, we extend, improve and generalize some earlier results in the literature on this topic. An application concerning the existence of an integral equation is also considered to illustrate the novelty of the main result.