New distance in cone S -metric spaces and common fixed point theorems

Abstract

In this work, we define a new distance called \(c_s\)-distance in a cone \(S\)-metric space with some properties. Then, we prove some common fixed point and fixed point theorems for self-mappings with this distance. After that, we obtain some common fixed point and fixed point results in the setting of cone \(S\)-metric spaces. We give some examples to support our work.