A generalized contraction principle with control functions on partial metric spaces

Abdeljawad T., Karapinar E., TAŞ K.

Computers and Mathematics with Applications, vol.63, no.3, pp.716-719, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 3
  • Publication Date: 2012
  • Doi Number: 10.1016/j.camwa.2011.11.035
  • Journal Name: Computers and Mathematics with Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.716-719
  • Keywords: Control functions, Fixed point, Generalized contraction principle, Partial metric space
  • Uşak University Affiliated: No

Abstract

Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In this article, we prove a generalized contraction principle with control functions φ and ψ on partial metric spaces. The theorems we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions. © 2011 Elsevier Ltd. All rights reserved.