Generalization of Common Coupled Fixed Point Theorems in Complex Valued b-Metric Spaces

Abstract

Recently, Azam et al. [1] introduced the complex valued metric space and obtained sufficient conditions for the existence of common fixed points. Rao et al. [20] introduce the notion of complex valued b-metric spaces. In this paper, some common coupled fixed point theorems have been established for a pair of mappings in a complete complex valued b-metric space in view of diverse contractive conditions. Our results extend and improve several fixed point theorems in the literature.