New fixed point theorems for modified generalized rational α-ψ-Geraghty contraction type maps

Abstract

In this paper, we introduce the notion of modified generalized rational α-ψ-Geraghty contraction type maps in the context of metric space and establish some fixed point theorems for such maps. This new contraction map is motivated by the different Geraghty contraction type maps introduced by many authors over the years. Examples are also given to illustrate the validity of our results.