On fuzzy contractive mappings in fuzzy metric spaces (Q879019)

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scientific article; zbMATH DE number 5149488
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English
On fuzzy contractive mappings in fuzzy metric spaces
scientific article; zbMATH DE number 5149488

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    On fuzzy contractive mappings in fuzzy metric spaces (English)
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    4 May 2007
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    Fixed point theorems for fuzzy contractive mappings due to \textit{V. Gregori} and \textit{A. Sapena} [ibid. 125, No.~2, 245--252 (2002; Zbl 0995.54046)] are extended to Edelstein fuzzy contractive mappings. Convergence properties for fuzzy contractive mappings are studied in fuzzy metric spaces in the sense of \textit{A. George} and \textit{P. Veeramani} [ibid. 64, No. 3, 395--399 (1994; Zbl 0843.54014)] and \textit{I. Kramosil} and \textit{J. Michalek} [Kybernetika, Praha 11, 336--344 (1975; Zbl 0319.54002)].
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    fuzzy metric space
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    Edelstein fuzzy contractive mapping
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    p-convergence
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