Coincidence points and common xed points for hybrid pair of mappings in b-metric spaces endowed with a graph

In this paper, we introduce the notion of strictly (a U E) - G-contractive map- pings in b-metric spaces endowed with a graph G. We establish a suffcient condition for ex- istence and uniqueness of points of coincidence and common xed points for such mappings. Our results extend and unify many existing results in the literature. Finally, we construct some examples to analyze and support our results.