On the Krein-Milman-Ky Fan theorem for convex compact metrizable sets. - Archive ouverte HAL Access content directly
Journal Articles Illinois Journal of Mathematics Year : 2018

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

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Mohammed Bachir
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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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Dates and versions

hal-01576780 , version 1 (24-08-2017)

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  • HAL Id : hal-01576780 , version 1

Cite

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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