BCQ and Strong BCQ for Nonconvex Generalized Equations with Applications to Metric Subregularity
BCQ and Strong BCQ for Nonconvex Generalized Equations with Applications to Metric Subregularity
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DOI：
10.1007/s11228-014-0287-2
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发表时间：
2014-06
影响因子：
1.6
通讯作者：
Liyun Huang;Qinghai He;Zhou Wei
中科院分区：
文献类型：
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作者：
Liyun Huang;Qinghai He;Zhou Wei
在凸广义方程基本约束条件（BCQ）和强BCQ的基础上，进一步讨论了非凸广义方程BCQ和强BCQ的约束条件，并建立了它们的各种刻画.作为应用，我们利用这些约束条件研究了非凸广义方程的度量次正则性，并给出了非凸广义方程具有度量次正则性的充分必要条件.
In this paper, based on basic constraint qualification (BCQ) and strong BCQ for convex generalized equation, we are inspired to further discuss constraint qualifications of BCQ and strong BCQ for nonconvex generalized equation and then establish their various characterizations. As applications, we use these constraint qualifications to study metric subregularity of nonconvex generalized equation and provide necessary and/or sufficient conditions in terms of constraint qualifications considered herein to ensure nonconvex generalized equation having metric subregularity.