BCQ and Strong BCQ for Nonconvex Generalized Equations with Applications to Metric Subregularity |
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| Authors: | Liyun Huang Qinghai He Zhou Wei |
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| Institution: | 1. School of Mathematics and Information Science, Qujing Normal University, Qujing, 655011, Yunnan Province, People’s Republic of China
2. Department of Mathematics, Yunnan University, Kunming, 650091, People’s Republic of China
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| Abstract: | 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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