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Journal Articles Journal of Mathematical Analysis and Applications Year : 1990

Functions with constant generalized gradient

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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.

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Dates and versions

halshs-00175848 , version 1 (01-10-2007)

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  • HAL Id : halshs-00175848 , version 1

Cite

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