Functions with constant generalized gradients

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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Year of publication:	1990-05
Authors:	Jouini, Elyès
Institutions:	Université Paris-Dauphine (Paris IX)
Subject:	Lipschitz functions

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Series:	Economics Papers from University Paris Dauphine.
Type of publication:	Book / Working Paper
Notes:	Published in Journal of Mathematical Analysis and Applications, 1990, Vol. 148, no. 1. pp. 121-130.Length: 9 pages
Classification:	C02 - Mathematical Methods
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011072407