Common fixed point theorems in intuitionistic fuzzy metric spaces

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

Journal of Applied Mathematics and Computing, vol.22, no.1-2, pp.411-424, 2006 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 1-2
  • Publication Date: 2006
  • Doi Number: 10.1007/bf02896489
  • Journal Name: Journal of Applied Mathematics and Computing
  • Journal Indexes: Scopus
  • Page Numbers: pp.411-424
  • Keywords: Common fixed point, Intuitionistic fuzzy metric space, R-weakly commuting mappings, Triangular conorm, Triangular norm
  • Manisa Celal Bayar University Affiliated: No

Abstract

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.