On metric subregularity for convex constraint systems by primal equivalent conditions |
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Authors: | Liyun Huang Zhou Wei |
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Affiliation: | 1.School of Mathematics and Information Science,Qujing Normal University,Qujing,People’s Republic of China;2.Department of Mathematics,Yunnan University,Kunming,People’s Republic of China |
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Abstract: | In this paper, we mainly study metric subregularity for a convex constraint system defined by a convex set-valued mapping and a convex constraint subset. The main work is to provide several primal equivalent conditions for metric subregularity by contingent cone and graphical derivative. Further it is proved that these primal equivalent conditions can characterize strong basic constraint qualification of convex constraint system given by Zheng and Ng (SIAM J Optim 18:437–460, 2007). |
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