Common fixed point theorems in complex valued b- metric spaces

Abstract

Rao et al. [5] introduced the notion of complex valued b-metric spaces which is more general than the well-known complex valued metric spaces. In this context, some common fixed point theorems for a pair of mapping satisfying certain rational contractions in the frame work of complex valued b- metric spaces are proved which generalize fixed point theorems due to Azam et al. [1], Rouzkard et al. [3], Mukheimer [2] and Nashine et al. [4]. To substantiate our results and to distinguish them from the existing ones, we furnish the paper with suitable examples.