Existence and uniqueness of a common fixed point on partial metric spaces

Abdeljawad T., Karapnar E., TAŞ K.

Applied Mathematics Letters, vol.24, no.11, pp.1900-1904, 2011 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 11
  • Publication Date: 2011
  • Doi Number: 10.1016/j.aml.2011.05.014
  • Journal Name: Applied Mathematics Letters
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1900-1904
  • Keywords: Common fixed point, Partial metric space, Weak φ-contraction
  • Uşak University Affiliated: No

Abstract

In this work, a general form of the weak φ-contraction is considered on partial metric spaces, to get a common fixed point. It is shown that self-mappings S,T on a complete partial metric space X have a common fixed point if it is a generalized weak φ-contraction. © 2011 Elsevier Ltd. All rights reserved.