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 (MSC 2000): 54A40, 03E72
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