Applications and theorem on common fixed point in complex valued b-metric space

Abstract

In this paper, a common fixed point theorem for four self-mappings satisfying rational contraction has been proved in complex valued b-metric space. Then, examples are provided to verify the effectiveness and usability of our main results. Finally, we validate our results by proving both the existence and the uniqueness of a common solution of the system of Urysohn integral equations and the existence of a unique solution for linear equations system.

Keywords

• complex valued b-metric space
• common fixed point
• compatible mapping
• weakly compatible mapping
• integral equations
• linear system