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

نویسندگان

  • Cristian Chifu Department of Business, Faculty of Business, Babes-Bolyai University, Cluj-Napoca, Romania
  • Gabriela Petrusel Department of Business, Faculty of Business, Babes-Bolyai University, Cluj-Napoca, Romania
چکیده مقاله:

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.

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عنوان ژورنال

دوره 8  شماره 2

صفحات  263- 276

تاریخ انتشار 2017-12-23

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