Common fixed soft element results in soft complex valued b-metric spaces

Abstract

In this paper, firstly, on the base of the soft complex numbers suggested by Das and Samanta, we introduce the concept of a soft complex valued b-metric space and investigate some of its properties. Also, we compare it to a soft complex valued metric space and a soft topological space. Next, we establish some fixed soft element theorems in the context of soft complex valued b-metric spaces and give suitable examples to illustrate the usability of the obtained main results. These results extend and generalize the corresponding results given in the existing literature.