%0 Journal Article
%T Existence and uniqueness of the solution for a general system of operator equations in $b-$metric spaces endowed with a graph
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Chifu, Cristian
%A Petrusel, Gabriela
%D 2017
%\ 12/01/2017
%V 8
%N 2
%P 263-276
%! Existence and uniqueness of the solution for a general system of operator equations in $b-$metric spaces endowed with a graph
%K Fixed point
%K Coupled fixed point
%K $b$-metric space
%K connected graph
%K integral equations
%R 10.22075/ijnaa.2017.11562.1570
%X 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.
%U https://ijnaa.semnan.ac.ir/article_2800_62e25ec2b3418aa3f744b6478d9fbcde.pdf