Common fixed point theorems under rational contractions using two mappings and six mappings and coupled fixed point theorem in bicomplex valued b-metric space

Abstract

During the past decades, enormous works by different researchers have been carried out in fixed point theory on metric spaces. In this paper, we prove some common fixed point theorems in bicomplex valued metric space for two mappings and for six mappings. Also, we have introduced the concept of bicomplex valued b-metric space and coupled fixed point theorem in bicomplex valued b-metric space.