Fixed point theorems of weakly compatible mappings in b2-metric space satisfying (φ,ψ) contractive conditions

Abstract

Generalising the concept of 2-metric space and b-metric space. Mustafa et. al. (Z. Mustafa. V, Paraneh, J. Razaei and Z. Kadulberg: b2-metric spaces and some fixed point theorems, Fixed Point Theory and Applications 2014, 2014:144) introduced b2-metric space. In this paper, we prove a common fixed point theorem for two pairs of weakly compatible mappings satisfying (φ,ψ) contractive condition in b2-metric space. An example is also given to illustrate our result.