Existence and uniqueness of the solution for a general system of operator equations in $b-$metric spaces endowed with a graph
نویسندگان
1 Department of Business, Faculty of Business, Babes-Bolyai University, Cluj-Napoca, Romania
2 Department of Business, Faculty of Business, Babes-Bolyai University, Cluj-Napoca, Romania
doi
10.22075/ijnaa.2017.11562.1570چکیده
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.
