Coincidence Point Theorems for Geraghty's Type Contraction in Generalized Metric Spaces Endowed with a Directed Graph

Narawadee Phudolsitthiphat, Anchalee Khemphet

Abstract

In this work, we present some existence results for coincidence point theorems for Geraghty's type contraction mappings in a space with two generalized metrics endowed with a directed graph. Further, some examples are provided to supported our main theorems. Finally, these results can be applied to the integral equation.