Existence and uniqueness of the solution for a general system of operator equations in b- metric spaces endowed with a graph

The purpose of this paper is to present some coupled fixed point results on a metric space endowed with two b-metrics. we shall apply a fixed point theorem for an appropriate operator on the cartesian product of the given spaces endowed with directed graphs. data dependence, well-posedness and ulam-hyers stability are also studied. the results obtained here will be applied to prove the existence and uniqueness of the solution for a system of integral equations.