Coincidence point theorems for $\varphi$-$\psi$-contraction mappings in metric spaces involving a graph

Abstract

Some new coupled coincidence and coupled common fixed point theorems for $\varphi$-$\psi$-contraction mappings are established. We have also an application to some integral system to support the results.

Keywords

• coupled coincidence point
• coupled fixed point
• edge preserving
• directed graph