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MATHEMATICA BOHEMICA, Vol. 133, No. 2, pp. 179-185 (2008)
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Urysohn's lemma, gluing lemma and contraction$^*$ mapping theorem for fuzzy metric spaces

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E. Roja, M. K. Uma, G. Balasubramanian

* E. Roja*, * M. K. Uma*, Department of Mathematics, Sri Sarada College for Women, Salem-636 016, Tamilnadu, Indie, e-mail: ` rpbalan@sancharnet.in`; * G. Balasubramanian*, Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai-600 005, Tamilnadu, Indie

**Abstract:** In this paper the concept of a fuzzy contraction$^*$ mapping on a fuzzy metric space is introduced and it is proved that every fuzzy contraction$^*$ mapping on a complete fuzzy metric space has a unique fixed point.

**Keywords:** fuzzy contraction mapping, fuzzy continuous mapping

**Classification (MSC2000):** 54A40, 03E72

**Full text of the article:**

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