Journal of applied mathematics & informatics
- Volume 22 Issue 1_2
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- Pages.411-424
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- 2006
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
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)
- Published : 2006.09.01
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]).
Keywords
- Triangular norm;
- triangular conorm;
- intuitionistic fuzzy metric space;
- R-weakly commuting mappings;
- common fixed point