A generalized contraction principle with control functions on partial metric spaces

Abdeljawad T., Karapinar E., TAŞ K.

Computers and Mathematics with Applications, cilt.63, sa.3, ss.716-719, 2012 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.camwa.2011.11.035
  • Dergi Adı: Computers and Mathematics with Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.716-719
  • Anahtar Kelimeler: Control functions, Fixed point, Generalized contraction principle, Partial metric space
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.