Necessary Optimality Conditions for Mathematical Programs with Second-Order Cone Complementarity Constraints

被引：0
|
作者：
Yan-Chao Liang
Xi-De Zhu
Gui-Hua Lin
机构：
[1] Henan Normal University,College of Mathematics and Information Science
[2] Dalian University of Technology,School of Mathematical Sciences
[3] Shanghai University,School of Management
来源：
Set-Valued and Variational Analysis | 2014年 / 22卷
关键词：
MPSOCC; MPSOCC-stationarity; Constraint qualification; Calmness; 90C30; 90C33; 90C46;
D O I：
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学科分类号：
摘要：
This paper considers the mathematical program with second-order cone complementarity constrains (MPSOCC). As a generalization of the developed mathematical program with complementarity constrains (MPCC), MPSOCC has many applications in practice. Motivated by the MPCC theory, several stationarity concepts, which include the Clarke-type, Mordukhovich-type, and strong stationarities, are presented in this paper. It is further shown that a local minimizer of MPSOCC must be stationary in some sense under suitable conditions. This indicates that these stationarity concepts are reasonable in theory.
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页码：59 / 78
页数：19
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