A proof of the Markov-Kakutani fixed point theorem via the Hahn-Banach theorem (Q2744607)

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scientific article; zbMATH DE number 1652699
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A proof of the Markov-Kakutani fixed point theorem via the Hahn-Banach theorem
scientific article; zbMATH DE number 1652699

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    19 November 2002
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    Hahn-Banach theorem
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    Markov-Kakutani theorem
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    A proof of the Markov-Kakutani fixed point theorem via the Hahn-Banach theorem (English)
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    \textit{S. Kakutani} [``Selected Papers'', Vol. 1, Birkhäuser (1986; Zbl 0609.01049) 154-158] provides a proof of the Hahn-Banach theorem using the Markov-Kakutani theorem. In this paper the author uses the Hahn-Banach theorem to provide a proof of the Markov-Kakutani theorem.
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