New Constraint Qualifications for Mathematical Programs with Second-Order Cone Complementarity Constraints

被引：0
作者：
Yan-Chao Liang
Yue-Wen Liu
Gui-Hua Lin
Xide Zhu
机构：
[1] Henan Normal University,Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, College of Mathematics and Information Science
[2] Henan Normal University,College of Mathematics and Information Science
[3] Shanghai University,School of Management
来源：
Journal of Optimization Theory and Applications | 2023年 / 199卷 / 3期
关键词：
Mathematical program with second-order cone complementarity constrains; Constraint qualification; SOCMPCC nondegenerate condition; SOCMPCC relaxed constant positive linear dependence condition; 90C30; 90C33;
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摘要：
In this paper, we propose several new constraint qualifications for mathematical programs with second-order cone complementarity constraints (SOCMPCC), named SOCMPCC-K-, strongly (S-), and Mordukhovich (M-) relaxed constant positive linear dependence condition (K-/S-/M-RCPLD). We show that K-/S-/M-RCPLD can ensure that a local minimizer of SOCMPCC is a K-/S-/M-stationary point, respectively. We further give some other constant rank-type constraint qualifications for SOCMPCC. These new constraint qualifications are strictly weaker than SOCMPCC linear independent constraint qualification and nondegenerate condition. Finally, we demonstrate the relationships among the existing SOCMPCC constraint qualifications.
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页码：1249 / 1280
页数：31
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