New Sharp Necessary Optimality Conditions for Mathematical Programs with Equilibrium Constraints

被引:0
作者
Helmut Gfrerer
Jane J. Ye
机构
[1] Johannes Kepler University Linz,Institute of Computational Mathematics
[2] University of Victoria,Department of Mathematics and Statistics
来源
Set-Valued and Variational Analysis | 2020年 / 28卷
关键词
Mathematical programs with equilibrium constraints; Constraint qualifications; Necessary optimality conditions; 49J53; 90C30; 90C33; 90C46;
D O I
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中图分类号
学科分类号
摘要
In this paper, we study the mathematical program with equilibrium constraints formulated as a mathematical program with a parametric generalized equation involving the regular normal cone. We derive a new necessary optimality condition which is sharper than the usual M-stationary condition and is applicable even when no constraint qualifications hold for the corresponding mathematical program with complementarity constraints reformulation.
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页码:395 / 426
页数:31
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