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Zbl 0664.54032
Grabiec, Mariusz
Fixed points in fuzzy metric spaces.
(English)
[J] Fuzzy Sets Syst. 27, No.3, 385-389 (1988). ISSN 0165-0114

{\it I. Kramosil} and {\it J. Michálek} [Kybernetika 11, 336-344 (1975; Zbl 0319.54002)] extended the concept of probabilistic metric spaces to fuzzy metric spaces. In this context, the author gives fuzzy versions of the Banach contraction principle and of the well-known fixed point theorem of {\it M. Edelstein} [J. Lond. Math. Soc. 37, 74-79 (1962; Zbl 0113.165)].
[S.Sessa]
MSC 2000:
*54H25 Fixed-point theorems in topological spaces
54A40 Fuzzy topology

Keywords: fuzzy versions of the Banach contraction principle

Citations: Zbl 0319.54002; Zbl 0113.165

Cited in: Zbl 1260.54022 Zbl 1224.54072 Zbl 1173.54319 Zbl 1157.54019 Zbl 1164.54381 Zbl 1163.54023 Zbl 1119.54007 Zbl 1142.54362 Zbl 1130.47058 Zbl 1103.54308 Zbl 1082.54022 Zbl 1072.54008 Zbl 1068.54502 Zbl 1029.54012 Zbl 1020.54009 Zbl 0995.54046 Zbl 0979.54009 Zbl 0969.54008 Zbl 0946.54035 Zbl 1019.54021 Zbl 0960.54006 Zbl 0926.54005 Zbl 0867.54017 Zbl 0880.54029 Zbl 0843.54016 Zbl 0798.54014

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