On the Krein-Milman-Ky Fan theorem for convex compact metrizable sets.

Mohammed Bachir 1
1 Equations d'evolution
SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)
Abstract : We extend the extension by Ky Fan of the Krein-Milman theorem. The $\Phi$-extreme points of a $\Phi$-convex compact metrizable space are replaced by the $\Phi$-exposed points in the statement of Ky Fan theorem. Our main results are based on new variational principles which are of independent interest. Several applications will be given.
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Submitted on : Thursday, August 24, 2017 - 12:24:27 AM
Last modification on : Wednesday, April 24, 2019 - 5:27:32 PM

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Mohammed Bachir. On the Krein-Milman-Ky Fan theorem for convex compact metrizable sets.. Illinois Journal of Mathematics, 2018, 62 (1-4). ⟨hal-01576780⟩

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