Common fixed point theorems in intuitionistic fuzzy metric spaces

TÜRKOĞLU A. D., ALACA C., Cho Y., Yildiz C.

Journal of Applied Mathematics and Computing, cilt.22, sa.1-2, ss.411-424, 2006 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 1-2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1007/bf02896489
  • Dergi Adı: Journal of Applied Mathematics and Computing
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.411-424
  • Anahtar Kelimeler: Common fixed point, Intuitionistic fuzzy metric space, R-weakly commuting mappings, Triangular conorm, Triangular norm
  • Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

The purpose of this paper, using the idea of intuitionistic fuzzy set due to Atanassov [2], we define the notion of intuitionistic fuzzy metric spaces (see, [1]) due to Kramosil and Michalek [17] and Jungck's common fixed point theorem ([11]) is generalized to intuitionistic fuzzy metric spaces. Further, we first formulate the definition of weakly commuting and R-weakly commuting mappings in intuitionistic fuzzy metric spaces and prove the intuitionistic fuzzy version of Pant's theorem ([21]). © 2006 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.