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Common fixed points of maps on fuzzy metric spaces - MaRDI portal

Common fixed points of maps on fuzzy metric spaces (Q1326609)

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scientific article; zbMATH DE number 569392
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Common fixed points of maps on fuzzy metric spaces
scientific article; zbMATH DE number 569392

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    Common fixed points of maps on fuzzy metric spaces (English)
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    10 November 1994
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    In accordance to the approach of \textit{M. Grabiec} [Fuzzy Sets Systems 27, 385-389 (1988; Zbl 0664.54032)], the authors establish some common fixed point theorems in fuzzy metric spaces for compatible maps in the sense of Jungck. Reviewer's remark: the contractive conditions used involve a continuous triangular norm \(*\) such that \(t*t\geq t\), \(t\in [0,1]\). Since one always has \(t\geq t*t\) for any \(t\in [0,1]\), it seems that the norm \(*\) must be necessarily min.
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