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

	Existence and uniqueness of the solution for a general system of operator equations in $b-$metric spaces endowed with a graph
International Journal of Nonlinear Analysis and Applications
مقاله 23، دوره 8، شماره 2، اسفند 2017، صفحه 263-276 اصل مقاله (361.34 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.11562.1570
نویسندگان
Cristian Chifu^* ؛ Gabriela Petrusel
Department of Business, Faculty of Business, Babes-Bolyai University, Cluj-Napoca, Romania
تاریخ دریافت: 16 خرداد 1396، تاریخ بازنگری: 10 مهر 1396، تاریخ پذیرش: 20 آبان 1396
چکیده
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.
کلیدواژه‌ها
Fixed point؛ Coupled fixed point؛ $b$-metric space؛ connected graph؛ integral equations

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