Characterizations of local upper Lipschitz property of perturbed solutions to nonlinear second-order cone programs
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发布时间:2019-03-12
论文类型:期刊论文
发表时间:2017-01-01
发表刊物:OPTIMIZATION
收录刊物:Scopus、SCIE
卷号:66
期号:7
页面范围:1079-1103
ISSN号:0233-1934
关键字:Second-order cone program; local upper Lipschitz property; graphical
derivative; second-order sufficient condition; strict constraint
qualification
摘要:We characterize the local upper Lipschitz property of the stationary point mapping and the Karush-Kuhn-Tucker (KKT) mapping for a nonlinear second-order cone programming problem using the graphical derivative criterion. We demonstrate that the second-order sufficient condition and the strict constraint qualification are sufficient for the local upper Lipschitz property of the stationary point mapping and are both sufficient and necessary for the local upper Lipschitz property of the KKT mapping.