On Constraint qualifications of a nonconvex inequality

被引：2
|
作者：
Wei, Zhou [1 ]
Yao, Jen-Chih [2 ]
机构：
[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China
[2] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan
来源：
OPTIMIZATION LETTERS | 2018年 / 12卷 / 05期
关键词：
Constraint qualification; Normal cone; Subdifferential; Nonconvex inequality; End set; INFINITE-DIMENSIONAL SPACES; EXTENDED FARKASS LEMMAS; CONVEX INEQUALITIES; BANACH-SPACES; ERROR-BOUNDS; LAGRANGE DUALITIES; OPTIMIZATION PROBLEMS; OPTIMALITY CONDITIONS; METRIC REGULARITY; SYSTEM;
D O I：
10.1007/s11590-017-1172-3
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 study constraint qualifications for the nonconvex inequality defined by a proper lower semicontinuous function. These constraint qualifications involve the generalized construction of normal cones and subdifferentials. Several conditions for these constraint qualifications are also provided therein. When restricted to the convex inequality, these constraint qualifications reduce to basic constraint qualification (BCQ) and strong BCQ studied in Zheng and Ng in SIAM J. Optim. 14:757-772, 2004 and Hu in Math. Oper. Res. 30:956-965, 2005.
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页码：1117 / 1139
页数：23
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