Jachymski (Proc. Am. Math. Soc. 136:1359-1373, 2008) gave a modified version of a
Banach fixed point theorem on a metric space endowed with a graph. The aim of this
paper is to present fixed point results of mappings satisfying integral type contractive
conditions in the framework of modular spaces endowed with a graph. Some
examples are presented to support the results proved herein. Our results generalize
and extend various comparable results in the existing literature.