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Coupled fixed point theorems for rational type contractions via C-class functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 8، دوره 10، شماره 1، بهمن 2019، صفحه 77-98 اصل مقاله (431.34 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.11820.1591 | ||
| نویسندگان | ||
| Arslan Hojat Ansari* 1؛ Bahman Moeini2؛ Isa Yildirim3؛ Anca Maria Oprea4 | ||
| 1Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran | ||
| 2Department of Mathematics, Hidaj Branch, Islamic Azad University, Hidaj, Iran | ||
| 3Department of Mathematics, Faculty of Science, Ataturk University, 25240 Erzurum, Turkey | ||
| 4Babe s-Bolyai University, Faculty of Mathematics and Computer Sciences, 400084 Cluj-Napoca, Romania | ||
| تاریخ دریافت: 14 بهمن 1396، تاریخ بازنگری: 18 بهمن 1397، تاریخ پذیرش: 04 فروردین 1398 | ||
| چکیده | ||
| In this paper, by using C-class functions, we will present a coupled fixed problem in b-metric space for the single-valued operators satisfying a generalized contraction condition. The first part of the paper is related to some fixed point theorems, the second part presents the uniqueness and existence of the solution of the coupled fixed point problem and in the third part, we discuss data dependence, well-posedness, Ulam-Hyers stability and limit shadowing property of the coupled fixed point set. | ||
| کلیدواژه‌ها | ||
| Fixed point؛ ordered metric space؛ rational type contraction؛ coupled fixed point؛ data dependence؛ well-posedness؛ Ulam-Hyers stability؛ limit shadowing property | ||
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