$\alpha$-$\psi$-Geraghty Contraction Type Mappings and some Related Fixed Point Results

Erdal Karapinar

In this paper, we consider a generalization of $\alpha$-$\psi$-Geraghty contraction and investigate the existence and uniqueness of fixed point for the mapping satisfying this condition. We illustrate an example and an application to support our results. In particular, we extend, improve and generalize some earlier results in the literature on this topic.