Abstract
In this work, we first prove a fixed point theorem of Ran and Reurings type in the framework of Jleli and Samet's generalized metric space endowed with a graph structure. Then, we revisit Ciric's fixed point theorem for G-quasi-contraction mappings in this setting. In particular, we show that the version of this fixed point theorem given by Jleli and Samet is false. Then we give its correct formulation.