Caristi type cyclic contraction and common fixed point theorems in bipolar metric spaces with applications

Abstract

Abstract In this paper, we obtain the existence and uniqueness of the solution for three self mappings in a complete bipolar metric space under a new Caristi type contraction with an example. We also provide applications to homotopy theory and nonlinear integral equations.

Keywords

• Bipolar metric space
• Covariant and contravariant map
• Compatible mapping and common fixed point