Two New Weak Constraint Qualifications for Mathematical Programs with Equilibrium Constraints and Applications

被引：7

作者：

Ramos, Alberto ^{[1
]}

机构：

[1] Univ Fed Parana, Dept Math, BR-81531980 Curitiba, PR, Brazil

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2019年 / 183卷 / 02期

关键词：

Mathematical program with equilibrium constraints; Constraint qualification; Error bound property; Mordukhovich stationarity; Local preservation property; COMPLEMENTARITY CONSTRAINTS; OPTIMALITY CONDITIONS; REGULARIZATION SCHEME;

D O I：

10.1007/s10957-019-01561-4

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：

In this paper, we introduce two new constraint qualifications for mathematical programs with equilibrium constraints. One of them is a relaxed version of the No Nonzero Abnormal Multiplier Constraint Qualification, and the other is an adaptation of the Constant Rank of Subspace Component. The new conditions have nice properties. Indeed, they have the local preservation property and imply the error bound property under mild assumptions. Thus, they can be used to extend some known results on stability and sensitivity analysis. Furthermore, they can also be used in the convergence analysis of several methods for solving mathematical programs with equilibrium constraints.

引用

页码：566 / 591

页数：26

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