In this paper, we have proved some common fixed point theorems for a pair of mappings satisfying certain rational contraction condition in the frame work of bicomplex valued metric space (X, d). We have also defined the max function for the partial order £ in bicomplex valued metric d.

In this paper, we have proved some common fixed point theorems for a pair of mappings satisfying certain rational contraction condition in the frame work of complex valued metric space (X, d). We have also taken the ‘max’ function for the partial order - in complex valued metric d.

In this paper we prove some common fixed point theorems in a complete bicomplex valued b-metric spaces for rational contractions.