Document Type : Research Paper
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Department of Mathematics, Hidaj Branch, Islamic Azad University, Hidaj, Iran
Department of Mathematics, Faculty of Science, Ataturk University, 25240 Erzurum, Turkey.
Babe s-Bolyai University, Faculty of Mathematics and Computer Sciences, 400084 Cluj-Napoca, Romania
In this paper, by using C-class functions, we will present a coupled
problem in b-metric space for the single-valued operators satisfying a generalized
contraction condition. First part of the paper is related to some
xed point theorems,
the second part presents the uniqueness and existence for the solution of the coupled
xed point problem and in the third part we discuss data dependence, well-posedness,
Ulam-Hyers stability and limit shadowing property of the coupled
xed point set.