Farkas-type results with conjugate functions

被引：35

作者：

Bot, RI ^{[1
]}

Wanka, G ^{[1
]}

机构：

[1] Tech Univ Chemnitz, Fac Math, D-09107 Chemnitz, Germany

来源：

SIAM JOURNAL ON OPTIMIZATION | 2005年 / 15卷 / 02期

关键词：

Farkas-type results; conjugate duality; finitely and infinitely many convex constraints;

D O I：

10.1137/030602332

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some new Farkas-type results for inequality systems involving a finite as well as an infinite number of convex constraints. For this, we use two kinds of conjugate dual problems, namely an extended Fenchel-type dual problem and the recently introduced Fenchel Lagrange dual problem. For the latter, which is a "combination" of the classical Fenchel and Lagrange duals, the strong duality is established.

引用

页码：540 / 554

页数：15

共 22 条

[1] BOT RI, 2004, 162004 CHEMN U TECHN
[2] BOT RI, IN PRESS J OPTIM THE
[3] BOT RI, 2005, 22005 CHEMN U TECHN
[4] Ekeland I., 1976, CONVEX ANAL VARIATIO
[5] Elster K.-H., 1977, EINFUHRUNG NICHTLINE
[6] FARKAS J, 1901, J REINE ANGEW MATH, V124, P1
[7] Complete characterizations of global optimality for problems involving the pointwise minimum of sublinear functions
Glover, BM
Ishizuka, Y
Jeyakumar, V
Tuan, HD
[J]. SIAM JOURNAL ON OPTIMIZATION, 1996, 6 (02) : 362 - 372
[8] A FARKAS LEMMA FOR DIFFERENCE SUBLINEAR SYSTEMS AND QUASIDIFFERENTIABLE PROGRAMMING
GLOVER, BM
JEYAKUMAR, V
OETTLI, W
[J]. MATHEMATICAL PROGRAMMING, 1994, 63 (01) : 109 - 125
[9] CORRECTION
GWINNER, J
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1989, 10 (3-4) : 415 - 418
[10] RESULTS OF FARKAS TYPE
GWINNER, J
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1987, 9 (5-6) : 471 - 520

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