Fixed point theorems and an application in parametric metric spaces

EGE Ö., Karaca I.

Azerbaijan Journal of Mathematics, vol.7, no.1, pp.27-39, 2017 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 1
  • Publication Date: 2017
  • Journal Name: Azerbaijan Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.27-39
  • Keywords: Coupled coincidence, Coupled fixed point, Parametric metric space
  • Manisa Celal Bayar University Affiliated: No

Abstract

In this paper, we give concepts of coupled fixed and coupled coincidence point in parametric metric spaces. We also prove a coupled fixed point theorem in this space and give a corollary and an example about the main result. Finally, we give an application to homotopy with proof.