Notes on Some Constraint Qualifications for Mathematical Programs with Equilibrium Constraints

被引：48

作者：

Guo, Lei ^{[1
]}

Lin, Gui-Hua ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2013年 / 156卷 / 03期

关键词：

Mathematical program with equilibrium constraints; Constraint qualification; Bouligand stationarity; Mordukhovich stationarity; VARIATIONAL INEQUALITY CONSTRAINTS; OPTIMALITY CONDITIONS; COMPLEMENTARITY CONSTRAINTS; OPTIMIZATION PROBLEMS; CONVERGENCE; STATIONARITY;

D O I：

10.1007/s10957-012-0084-8

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：

We study the constraint qualifications for mathematical programs with equilibrium constraints (MPEC). Firstly, we investigate the weakest constraint qualifications for the Bouligand and Mordukhovich stationarities for MPEC. Then, we show that the MPEC relaxed constant positive linear dependence condition can ensure any locally optimal solution to be Mordukhovich stationary. Finally, we give the relations among the existing MPEC constraint qualifications.

引用

页码：600 / 616

页数：17

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