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 [J].

Glover, BM ;

Ishizuka, Y ;

Jeyakumar, V ;

Tuan, HD .

SIAM JOURNAL ON OPTIMIZATION, 1996, 6 (02) :362-372

[8] A FARKAS LEMMA FOR DIFFERENCE SUBLINEAR SYSTEMS AND QUASIDIFFERENTIABLE PROGRAMMING [J].

GLOVER, BM ;

JEYAKUMAR, V ;

OETTLI, W .

MATHEMATICAL PROGRAMMING, 1994, 63 (01) :109-125

[9] CORRECTION [J].

GWINNER, J .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1989, 10 (3-4) :415-418

[10] RESULTS OF FARKAS TYPE [J].

GWINNER, J .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1987, 9 (5-6) :471-520

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