非凸广义方程的BCQ和强BCQ及其在度量次正则性上的应用
BCQ and Strong BCQ for Nonconvex Generalized Equations with Applications to Metric Subregularity
摘要：
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的约束规格，并建立了它们的各种刻画.作为应用，我们利用这些约束规格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约束规格的充分条件.
英文摘要：
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.
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