A common coupled fixed point theorem in intuitionistic Menger metric space

Abstract

We establish a common fixed point theorem for mappings under φ-contractive conditions on intuitionistic Menger metric spaces. As an application of our result we study the existence and uniquenes of the solution to a nonlinear Fredholm integral equation. We also give an example to validate our result.

Keywords

• intuitionistic Menger metric space
• common coupled fixed points
• φ-contractive condition
• weak compatibility