Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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COMMON FIXED POINT THEOREMS IN INTUITIONISTIC FUZZY METRIC SPACES

  • Turkoglu D. (Department of Mathematics, Faculty of Science and Arts, Gazi University) ;
  • Alaca C. (Department of Mathematics, Faculty of Science and Arts, Gazi University) ;
  • Cho Y.J. (Department of Mathematics Education, College of Education, Gyeongsang National University) ;
  • Yildiz C. (Department of Mathematics, Faculty of Science and Arts, Gazi University)
  • 발행 : 2006.09.01

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초록

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]).

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