Functions with constant generalized gradient

Elyès Jouini ()

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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.

Keywords: Clarke; gradient (search for similar items in EconPapers)
Date: 1990-05
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Published in Journal of Mathematical Analysis and Applications, 1990, pp.121-130

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00175848

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