On the separation of convex sets in some idempotent semimodules (Q550655)

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scientific article; zbMATH DE number 5919608
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On the separation of convex sets in some idempotent semimodules
scientific article; zbMATH DE number 5919608

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    On the separation of convex sets in some idempotent semimodules (English)
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    13 July 2011
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    The authors continue the research on \(\mathbb B\)-convex sets presented in their papers [Pac. J. Optim. 1, No. 1, 13--30 (2005; Zbl 1099.52001)] and [Pac. J. Optim. 2, No. 2, 293--317 (2008; Zbl 1156.46009)]. Most of the present results concern functional separation of \(\mathbb B\)-convex sets in \(\mathbb R ^ n _ +\).
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    \(\mathbb B\)-convexity
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    functional convexity
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    idempotent semimodules
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    max-plus convexity
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