Some Fixed Point Results for (α,ψ,φ)- Geraghty Contraction Mappings in Bipolar Metric Space

Abstract

In this paper, we explore a generalization of (α,ψ) - Geraghty contractions and investigate the existence and uniqueness of fixed points for mappings satisfying this condition. The study extends, improves, and generalizes some earlier results in the literature on this topic. We consider the interplay of three parameters: α,ψ  and φ, which play a crucial role in defining the contraction properties. Our goal is to establish fixed point theorems that encompass various scenarios within bipolar metric spaces.