Functions with constant generalized gradients

Jouini, Elyès

Jouini, Elyès (1990), Functions with constant generalized gradients, Journal of Mathematical Analysis and Applications, 148, 1, p. 121-130. http://dx.doi.org/10.1016/0022-247X(90)90032-B

Type

Article accepté pour publication ou publié

Date

1990-05

Journal name

Journal of Mathematical Analysis and Applications

Volume

148

Number

Publisher

Elsevier

Pages

121-130

Abstract (EN)

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.

Subjects / Keywords

Lipschitz functions

JEL

C02 - Mathematical Methods