Coincidence point theorems for multi-valued mappings in fuzzy metric spaces (Q2925766)

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scientific article; zbMATH DE number 6361898
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Coincidence point theorems for multi-valued mappings in fuzzy metric spaces
scientific article; zbMATH DE number 6361898

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    27 October 2014
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    fuzzy metric space
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    triangular norm
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    coincidence point
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    fuzzy Nadler contraction mapping
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    implicit relation
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    Coincidence point theorems for multi-valued mappings in fuzzy metric spaces (English)
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    The authors prove a coincidence theorem in fuzzy metric spaces for fuzzy contraction mappings of Nadler type. Also, another theorem is proved under an implicit relation and suitable examples are presented. A result of \textit{O. Hadžić} and \textit{E. Pap} [Fixed point theory in probabilistic metric spaces. Dordrecht: Kluwer Academic Publishers (2002; Zbl 0994.47077)] is thus generalized. For related results, see, e.g., the paper of \textit{T. Žikić} [J. Electr. Eng. 53, No. 12/s, 13--16 (2002; Zbl 1044.54014)] cited in the references.
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