FUNCTIONS WITH CONSTANT GENERALIZED-GRADIENTS

被引：3

作者：

JOUINI, E

机构：

[1] Laboratoire d'Econométrie de l'Ecole Polytechnique, CERMSEM, Université Paris 1 Panthéon-Sorbonne, Ecole Normale Supérieure, Paris

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1990年 / 148卷 / 01期

关键词：

D O I：

10.1016/0022-247X(90)90032-B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. © 1990.

引用

页码：121 / 130

页数：10

共 11 条

[1]

BONNISSEAU JM, 1988, EXISTENCE MARGINAL C

[2]

BONNISSEAU JM, 1988, J MATH EC, V17

[3]

Brezis H., 1983, ANAL FONCTIONNELLE T

[4]

Clarke F.H., 1983, OPTIMIZATION NONSMOO

[5] GENERALIZED GRADIENTS AND APPLICATIONS [J].

CLARKE, FH .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 205 (APR) :247-262

[6]

CORNET B, 1987, MATH PROGRAM STUD, V30, P17, DOI 10.1007/BFb0121152

[7]

JOUINI E, 1988, J MATH EC

[8]

KURATOWSKI C, 1958, MONOGRAFIE MATH, V3

[9]

LEBOURG G, 1975, CR HEBD ACAD SCI, V294, P115

[10] CHARACTERIZATION OF SUBDIFFERENTIALS OF CONVEX FUNCTIONS [J].

ROCKAFEL.RT .

PACIFIC JOURNAL OF MATHEMATICS, 1966, 17 (03) :497-&

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