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Article

Roja, E. ; Uma, M. K. ; Balasubramanian, G.
Urysohn’s lemma, gluing lemma and contraction$^*$ mapping theorem for fuzzy metric spaces. (English). Mathematica Bohemica, vol. 133 (2008), issue 2, pp. 179-185
MSC: 03E72, 54A40, 54E35, 54H25 | MR 2428313 | Zbl 1199.54243 | DOI: 10.21136/MB.2008.134052
Keywords:
fuzzy contraction mapping; fuzzy continuous mapping
Summary:
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.
References:
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