Common fixed point theorems in intuitionistic fuzzy metric spaces
Journal of Applied Mathematics and Computing, cilt.22, sa.1-2, ss.411-424, 2006 (Scopus)
- 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.