Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Journal articles

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

Mohammed Bachir 1 
1 Equations d'evolution
SAMM - 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.
Document type :
Journal articles
Complete list of metadata

https://hal-paris1.archives-ouvertes.fr/hal-01576780
Contributor : Mohammed Bachir Connect in order to contact the contributor
Submitted on : Thursday, August 24, 2017 - 12:24:27 AM
Last modification on : Friday, May 6, 2022 - 4:50:07 PM

Identifiers

  • HAL Id : hal-01576780, version 1

Collections

Citation

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

Share

Metrics

Record views

114