Applications and common coupled fixed point results in ordered partial metric spaces

Rao K., Kishore G., TAŞ K., Satyanaraya S., Ram Prasad D.

Fixed Point Theory and Applications, vol.2017, no.1, 2017 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 2017 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.1186/s13663-017-0610-3
  • Journal Name: Fixed Point Theory and Applications
  • Journal Indexes: Scopus
  • Keywords: coupled fixed point, homotopy theory, mixed g-monotone property, partial metric, w-compatible maps, ψ-α-β contraction
  • Uşak University Affiliated: No

Abstract

In this paper, we obtain a unique common coupled fixed point theorem by using (ψ, α, β) -contraction in ordered partial metric spaces. We give an application to integral equations as well as homotopy theory. Also we furnish an example which supports our theorem.