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

N. Narsimha, G. Upender Reddy, P. Naresh, B. Srinuvasa Rao

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)-Zb-Geraghty type contraction via b-simulation function in C∗-algebra valued Sb-metric spaces. We also discuss various applications for integral equations and homotopy. Furthermore, we present instances to support our key findings.

How to Cite this Article

N. Narsimha, G. Upender Reddy, P. Naresh, B. Srinuvasa Rao, Certain applications via b-simulation function of (α,β)-Zb-Geraghty type contraction in C∗-algebra valued Sb-metric spaces, Adv. Fixed Point Theory, 14 (2024), Article ID 28. https://doi.org/10.28919/afpt/8531

Copyright © 2024 N. Narsimha, G. Upender Reddy, P. Naresh, B. Srinuvasa Rao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.