Fixed point theorems for ψ−contractive mapping in C∗−algebra valued rectangular b-metric spaces

Abstract

In this paper, we present a new insight of C∗−algebra valued rectangular b−metric spaces in the perspective of the fixed point theory using contractive mapping. Using contractive mapping in the rectangular b−metric spaces, we discussed the existence and the uniqueness of the fixed point with mapping satisfying a contractive condition. As a result, we obtained an interesting and important result for the general case of C∗−algebra valued metric spaces. In particular, we study some fixed point theorems in the C∗−algebra valued rectangular b−metric spaces using a positive function.