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)-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.
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.
Cite this article
N. Narsimha, G. U. Reddy, P. Naresh, B. S. 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), 28. https://doi.org/10.28919/afpt/8531
BibTeX
@article{Narsimha2024,
author = {Narsimha, N. and Reddy, G. Upender and Naresh, P. and Rao, B. Srinuvasa},
title = {Certain applications via b-simulation function of (α,β)-Zb-Geraghty type contraction in C∗-algebra valued Sb-metric spaces},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {28},
doi = {10.28919/afpt/8531}
}