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

Authors

  • anca MARIA OPREA4 Babe s-Bolyai University, Faculty of Mathematics and Computer Sciences, 400084 Cluj-Napoca, Romania
  • BAHMAN MOEINI Department of Mathematics, Hidaj Branch, Islamic Azad University, Hidaj, Iran
  • isa YILDIRIM Department of Mathematics, Faculty of Science, Ataturk University, 25240 Erzurum, Turkey.
Abstract:

In this paper, by using C-class functions, we will present a coupled …xed 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.

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Journal title

volume 10  issue 1

pages  77- 98

publication date 2019-11-01

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