Fixed points in intuitionistic fuzzy metric spaces

Alaca C., Turkoglu D., Yildiz C.

CHAOS SOLITONS & FRACTALS, cilt.29, sa.5, ss.1073-1078, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 5
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.chaos.2005.08.066
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1073-1078
  • Gazi Üniversitesi Adresli: Evet

Özet

The purpose of this paper, using the idea of intuitionistic fuzzy set due to Atanassov [Atanassov K. Intuitionistic fuzzy sets. Fuzzy Sets Syst 1986;20:87-96], we define the notion of intuitionistic fuzzy metric spaces due to Kramosil and Michalek [Kramosil 0, Michalek J. Fuzzy metric and statistical metric spaces. Kybernetika. 1975; 11:326-34]. Further the well-known fixed point theorems of Banach and Edelstein are extended to intuitionistic fuzzy metric spaces with the help of Grabiec [Grabiec M. Fixed points in fuzzy metric spaces. Fuzzy Sets Syst 1988;27:385-9]. (c) 2005 Elsevier Ltd. All rights reserved.