β-σ-Geraghty type contraction mapping and fixed point results in generalized Gb-metric space

Abstract

This article investigates Fixed Point Results in Generalized G_b-metric space by focusing on the concept of β-σ-Geraghty type contraction mapping in generalized G_b-complete metric space (CMS). We examine the fixed point results for this type of mapping and present several theorems that extend and generalize previous findings in the field. Our study contributes to a deeper understanding of Fixed Point Results in Generalized G_b-metric space.