Some exact penalty results for nonlinear programs and mathematical programs with equilibrium constraints

被引：70

作者：

Lin, GH ^{[1
]}

Fukushima, M

机构：

[1] Kyoto Univ, Dept Appl Math & Phys, Grad Sch Informat, Kyoto 606, Japan

[2] Dalian Univ Technol, Dept Math Appl, Dalian, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2003年 / 118卷 / 01期

关键词：

mathematical programs with equilibrium constraints; nonlinear complementarity problems; subanalytic sets; subanalytic functions; Holder continuity; strong convexity; error bounds;

D O I：

10.1023/A:1024787424532

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Recently, some exact penalty results for nonlinear programs and mathematical programs with equilibrium constraints were proved by Luo, Pang, and Ralph (Ref. 1). In this paper, we show that those results remain valid under some other mild conditions. One of these conditions, called strong convexity with order sigma, is discussed in detail.

引用

页码：67 / 80

页数：14

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