COUPLED FIXED POINT THEOREMS FOR RATIONAL TYPE CONTRACTIONS VIA C-CLASS FUNCTIONS

Abstract

In this paper, by using C-class functions, we will present a coupled xed<br /> problem in b-metric space for the single-valued operators satisfying a generalized<br /> contraction condition. First part of the paper is related to some xed point theorems,<br /> the second part presents the uniqueness and existence for the solution of the coupled<br /> xed point problem and in the third part we discuss data dependence, well-posedness,<br /> Ulam-Hyers stability and limit shadowing property of the coupled xed point set.