INTERSECTION FORMULAS IN A BANACH-SPACE

被引：0

作者：

JOURANI, A

机构：

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1993年 / 317卷 / 09期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that independence conditions of two sets, introduced by Ioffe and Clarke and Raissi, are equivalent when one of the sets is compactly epi-Lipschitzian. Under these conditions, we give an estimate of the distance function to the intersection (resp. its subdifferential) in terms of the sum of the distance functions (resp. their subdifferential). These results extend those of Ioffe, Clarke and Raissi, Rockafellar ....

引用

收藏

页码：825 / 828

页数：4

相关论文

共 12 条

[1] TANGENTIAL APPROXIMATIONS [J].

BORWEIN, JM ;

STROJWAS, HM .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1985, 9 (12) :1347-1366

[2] EPI-LIPSCHITZ-LIKE SETS IN BANACH-SPACE - THEOREMS AND EXAMPLES [J].

BORWEIN, JM .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (10) :1207-1217

[3]

Clarke F.H., 1983, OPTIMIZATION NONSMOO

[4]

CLARKE FH, 1990, ANN SCI MATH QUEBEC, V14, P121

[5] APPROXIMATE SUBDIFFERENTIALS AND APPLICATIONS .2. [J].

IOFFE, AD .

MATHEMATIKA, 1986, 33 (65) :111-128

[6] APPROXIMATE SUBDIFFERENTIALS AND APPLICATIONS .3. THE METRIC THEORY [J].

IOFFE, AD .

MATHEMATIKA, 1989, 36 (71) :1-38

[7] REGULARITY AND STRONG SUFFICIENT OPTIMALITY CONDITIONS IN DIFFERENTIABLE OPTIMIZATION PROBLEMS [J].

JOURANI, A .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1993, 14 (1-2) :69-87

[8]

JOURANI A, UNPUB METRIC RGULARI

[9]

JOURANI A, UNPUB EXTENSIONS SUB

[10] DIRECTIONALLY LIPSCHITZIAN FUNCTIONS AND SUBDIFFERENTIAL CALCULUS [J].

ROCKAFELLAR, RT .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1979, 39 (SEP) :331-355