Common fixed points of locally contractive mappings in bicomplex valued metric spaces with application to Urysohn integral equation

Abstract

The aim of this article is to obtain common fixed points of locally contractive mappings in the setting of bicomplex valued metric spaces. Our investigations generalize some conventional theorems of literature. Furthermore, we supply a significant example to manifest the authenticity of the proved results. As an application, we solve the solution of the integral equation by using our main result.

Keywords

• common fixed point
• bicomplex valued metric space
• closed ball
• generalized contractions
• urysohn integral equation