Certain applications via b-simulation function of (α,β)-Zb-Geraghty type contraction in C∗-algebra valued Sb-metric spaces

Abstract

The purpose of this paper is to develop a common fixed point theorem for a pair of self-mappings in the setting of (α,β)-Z_b-Geraghty type contraction via b-simulation function in C∗-algebra valued S_b-metric spaces. We also discuss various applications for integral equations and homotopy. Furthermore, we present instances to support our key findings.