文献类型：期刊文献

英文题名：Characterizations of local upper Lipschitz property of perturbed solutions to nonlinear second-order cone programs

作者：Zhang, Yi[1];Zhang, Liwei[2];Wu, Jia[2];Wang, Keding[3]

机构：[1]East China Univ Sci & Technol, Sch Sci, Dept Math, Shanghai, Peoples R China;[2]Dalian Univ Technol, Sch Math Sci, Dalian, Peoples R China;[3]Shandong Victory Soft Co Ltd, Beijing Branch, Beijing, Peoples R China

年份：2017

卷号：66

期号：7

起止页码：1079

外文期刊名：OPTIMIZATION

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000402300900003)】；

基金：The research was partly supported by the National Natural Science Foundation of China [project number 11401210], [project number 11671183], [project number 11571059], [project number 91330206], [project number 11301049].

语种：英文

外文关键词：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.