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Functions with constant generalized gradients

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
1
Publisher
Elsevier
Pages
121-130
Publication identifier
http://dx.doi.org/10.1016/0022-247X(90)90032-B
Metadata
Show full item record
Author(s)
Jouini, Elyès
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

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