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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-star lower semicontinuous convex function defined on a weak-star convex compact subset of some dual Banach space. We establish the existence of a bijective operator between the two classes of functions which preserves problems of minimization.
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https://hal-paris1.archives-ouvertes.fr/hal-02455711
Contributor : Mohammed Bachir <>
Submitted on : Sunday, January 26, 2020 - 4:02:58 PM
Last modification on : Monday, January 27, 2020 - 1:15:26 AM

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Mohammed Bachir. Convex Extension of Lower Semicontinuous Functions Defined on Normal Hausdorff Space. Journal of Convex Analysis, Heldermann, 2020, 27 (3). ⟨hal-02455711⟩

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