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FIXED POINT THEOREM ON INTUITIONISTIC FUZZY METRIC SPACES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 3، شماره 1، تیر 2006، صفحه 23-29 اصل مقاله (157.31 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2006.428 | ||
| نویسندگان | ||
| Mohd. Rafi Segi Rahmat* ؛ Mohd. Salmi Md. Noorani | ||
| School of Mathematical Science, Faculty of Science and Technology, Universiti kebangsaan Malaysia, 43600 Bangi, Selangor D.E., Malaysia | ||
| چکیده | ||
| In this paper, we introduce intuitionistic fuzzy contraction mapping and prove a fixed point theorem in intuitionistic fuzzy metric spaces. | ||
| کلیدواژهها | ||
| Intuitionistic fuzzy metric spaces؛ Fuzzy metric spaces؛ Fixed point theorem | ||
| مراجع | ||
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[1] V. Gregory and A. Sapena, On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, 125 (2002), 245-253. [2] H. P. A. Kunzi and S. Romaguera, Quasi-metric spaces, quasi-metric hyperspaces and uniform local compactness, Rend. Istit. Univ. Trieste, 30 (1999), 133-144. [3] R. Lowen, Fuzzy set theory, Kluwer Academic Publisher, Dordrecht, 1996. [4] D. Mihet, A Banach contraction theorem in fuzzy metric spaces, Fuzzy Sets and Systems, 144 (2004), 431-439. [5] J. H. Park, Intutionistic fuzzy metric spaces, Chaos, Solitons and Fractals, 22 (2004), 1039- 1046. [6] R. Saadati and J. H. Park, On the intuitionistic fuzzy topological spaces, Chaos, Solitons and Fractals, 27 (2006), 331-344. [7] P. Vijayaraju and M. Marudai, Fixed point theorem for fuzzy mappings, Fuzzy Sets and Systems, 135 (2003), 401-408. | ||
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