Common fixed point theorems under rational contractions for a pair of mappings in bicomplex valued metric spaces

Abstract

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.

Subject Classification:

• (2010) 30D30
• 30D35
• 37C25
• 47H10

Keywords:

• Common fixed point
• Contractive type mapping
• Rational Contraction
• Bicomplex valued metrc space