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.
https://halshs.archives-ouvertes.fr/halshs-00175848 Contributor : Elyès JouiniConnect 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