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Journal Articles Journal of Convex Analysis Year : 2020

Convex Extension of Lower Semicontinuous Functions Defined on Normal Hausdorff Space

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Mohammed Bachir
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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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Dates and versions

hal-02455711 , version 1 (26-01-2020)

Identifiers

  • HAL Id : hal-02455711 , version 1

Cite

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