Hojat Ansari, Arslan, Moeini, Bahman, Yildirim, Isa, Maria Oprea, Anca. (1398). Coupled fixed point theorems for rational type contractions via C-class functions. هنرهای کاربردی, 10(1), 77-98. doi: 10.22075/ijnaa.2018.11820.1591
Arslan Hojat Ansari; Bahman Moeini; Isa Yildirim; Anca Maria Oprea. "Coupled fixed point theorems for rational type contractions via C-class functions". هنرهای کاربردی, 10, 1, 1398, 77-98. doi: 10.22075/ijnaa.2018.11820.1591
Hojat Ansari, Arslan, Moeini, Bahman, Yildirim, Isa, Maria Oprea, Anca. (1398). 'Coupled fixed point theorems for rational type contractions via C-class functions', هنرهای کاربردی, 10(1), pp. 77-98. doi: 10.22075/ijnaa.2018.11820.1591
Hojat Ansari, Arslan, Moeini, Bahman, Yildirim, Isa, Maria Oprea, Anca. Coupled fixed point theorems for rational type contractions via C-class functions. هنرهای کاربردی, 1398; 10(1): 77-98. doi: 10.22075/ijnaa.2018.11820.1591

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
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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