On Metric Subregularity for Convex Constraint Systems by Primal Equivalent Conditions
Optimization and Control
2016-10-19 v1
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(2007), pp. 437-460].
Keywords
Cite
@article{arxiv.1610.05671,
title = {On Metric Subregularity for Convex Constraint Systems by Primal Equivalent Conditions},
author = {Liyun Huang and Zhou Wei},
journal= {arXiv preprint arXiv:1610.05671},
year = {2016}
}
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14 pages