• 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

  • Pages
    22
  • From page
    77
  • To page
    98
  • 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
  • Serial Year
    2019
  • Record number

    2493497