Regularity properties of a semismooth reformulation of variational inequalities

被引：42

作者：

Facchinei, F

Fischer, A

Kanzow, C

机构：

[1] Univ Rome La Sapienza, Dipartimento Informat & Sistemist, I-00185 Rome, Italy

[2] Univ Dortmund, Dept Math, D-44221 Dortmund, Germany

[3] Univ Hamburg, Inst Appl Math, D-20146 Hamburg, Germany

来源：

SIAM JOURNAL ON OPTIMIZATION | 1998年 / 8卷 / 03期

关键词：

variational inequality problem; KKT conditions; strong regularity;

D O I：

10.1137/S1052623496298194

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Variational inequalities over sets defined by systems of equalities and inequalities are considered. A new reformulation of the KKT conditions for the variational inequality as a system of equations is proposed. A related unconstrained minimization reformulation is also investigated. As a by-product of the analysis, a new characterization of strong regularity of KKT points is given.

引用

页码：850 / 869

页数：20

共 33 条

[1]

Bachem A., 1992, Linear programming duality

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