Certain Applications of \(\left(\psi, \phi\right)\)-Contractions in \(C^*\)-Algebra-Valued \(S_b\)-Metric Spaces

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DOI: https://doi.org/10.28924/2291-8639-23-2025-252
Published: Oct 16, 2025
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N. Narsimha, G. Upender Reddy, P. Naresh, B. Srinuvasa Rao, Certain Applications of \(\left(\psi, \phi\right)\)-Contractions in \(C^*\)-Algebra-Valued \(S_b\)-Metric Spaces, Int. J. Anal. Appl., 23 (2025), 252.

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

Abstract

We present in this paper unique common coupled fixed-point results for two pairs of ω-compatible mappings that satisfy (ψ, φ)-generalized weakly contractive conditions in C∗-algebra-valued Sb -metric spaces. Additionally, we provide an illustration to substantiate our findings. Additionally, the paper offers an application that demonstrates the existence and uniqueness of a solution for a non-linear integral equation, as well as homotopy.

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