Fixed point results for a new multivalued Geraghty type contraction via C_G-simulation functions

Abstract

The aim of this paper is to introduce the new concept of a multivalued Geraghty type contraction mapping using C_G-simulation functions and C-class functions. Additionally, through this type of contraction, we establish fixed point results that generalize several known fixed point results in the literature. As consequences, we arrive at fixed point results endowed with graph. To demonstrate the credibility of our results, we give an example that proves it.