Abadie Constraint Qualifications for Convex Constraint Systems and Applications to Calmness Property

被引：3

作者：

Wei, Zhou ^{[1
]}

Yao, Jen-Chih ^{[2
,3
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China

[2] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan

[3] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 807, Taiwan

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2017年 / 174卷 / 02期

关键词：

Abadie CQ; Strong Abadie CQ; Convex constraint system; Calmness; BANACH-SPACES; GENERALIZED EQUATIONS; METRIC SUBREGULARITY; ERROR-BOUNDS; MULTIFUNCTIONS; INEQUALITIES; REGULARITY;

D O I：

10.1007/s10957-017-1115-2

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 mainly study concepts of Abadie constraint qualification and strong Abadie constraint qualification for a convex constraint system defined by a closed convex multifunction and a closed convex subset. These concepts can cover Abadie constraint qualifications for the feasible region of convex optimization problem and the convex multifunction. Several characterizations for these Abadie constraint qualifications are also provided. As applications, we use these Abadie constraint qualifications to characterize calmness properties of the convex constraint system.

引用

页码：388 / 407

页数：20

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