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A convex extension of lower semicontinuous functions defined on normal Hausdorff space

Mohammed Bachir 1
1 Equations d'evolution
SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)
Abstract : We prove that, any problem of minimization of proper lower semicontinuous function defined on a normal Hausdorff space, is canonically equivalent to a problem of minimization of a proper weak * lower semicontinuous convex function defined on a weak * convex compact subset of some dual Banach space. We estalish the existence of an bijective operator between the two classes of functions which preserves the problems of minimization.
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https://hal-paris1.archives-ouvertes.fr/hal-01525475
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Submitted on : Saturday, May 20, 2017 - 11:22:28 PM
Last modification on : Sunday, January 19, 2020 - 6:38:38 PM
Document(s) archivé(s) le : Tuesday, August 22, 2017 - 12:50:21 AM

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  • HAL Id : hal-01525475, version 1
  • ARXIV : 1705.08137

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Mohammed Bachir. A convex extension of lower semicontinuous functions defined on normal Hausdorff space. 2017. ⟨hal-01525475⟩

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