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

被引：1

作者：

Liang, Yan-Chao ^{[1
]}

Liu, Yue-Wen ^{[2
]}

Lin, Gui-Hua ^{[3
]}

Zhu, Xide ^{[3
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Engn Lab Big Data Stat Anal & Optimal Control, Xinxiang 453007, Henan, Peoples R China

[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

[3] Shanghai Univ, Sch Management, Shanghai 200444, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2023年 / 199卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Mathematical program with second-order cone complementarity constrains; Constraint qualification; SOCMPCC nondegenerate condition; SOCMPCC relaxed constant positive linear dependence condition; OPTIMALITY CONDITIONS; REGULARIZATION SCHEME; RELAXATION SCHEME; CONVERGENCE; STATIONARITY;

D O I：

10.1007/s10957-023-02299-w

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 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.

引用

页码：1249 / 1280

页数：32

共 43 条

[1] Second-order cone programming [J].