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Functions with constant generalized gradient

Abstract : In this paper we show that for every nonempty convex compact subset K of a finite dimensional space E there exists a Lipschitz function F: E → R, such that ∂F, generalized gradient of F in the sense of Clarke [4] is equal everywhere to K.
keyword : Clarke gradient
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https://halshs.archives-ouvertes.fr/halshs-00175848
Contributor : Elyès Jouini Connect in order to contact the contributor
Submitted on : Monday, October 1, 2007 - 3:05:01 PM
Last modification on : Tuesday, January 18, 2022 - 3:23:48 PM

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  • HAL Id : halshs-00175848, version 1

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Elyès Jouini. Functions with constant generalized gradient. Journal of Mathematical Analysis and Applications, Elsevier, 1990, pp.121-130. ⟨halshs-00175848⟩

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