Title of article :
Coupled xed point theorems for rational type contractions via C-class functions
Author/Authors :
Ansari, A.H Department of Mathematics - Karaj Branch Islamic Azad University, Karaj, Iran , Moeini, B Department of Mathematics - Hidaj Branch Islamic Azad University, Hidaj, Iran , Yildirim, I Department of Mathematics - Faculty of Science - Ataturk University, 25240 Erzurum, Turkey , Oprea, A.M Babes-Bolyai University - Faculty of Mathematics and Computer Sciences, 400084 Cluj-Napoca, Romania
Abstract :
The main purpose of the paper is to extend some results of the coupled xed point theorems, based
on some previous works [15, 16], by using C-class functions. 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.
Keywords :
limit shadowing property , Ulam-Hyers stability , well-posedness , data dependence , c- class functions , Coupled fixed point , rational type contraction , Fixed point , ordered metric space
