METRIC SUBREGULARITY FOR NONCLOSED CONVEX MULTIFUNCTIONS IN NORMED SPACES

被引：3
|
作者：
Zheng, Xi Yin [1 ]
Ng, Kung Fu [2 ]
机构：
[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China
[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2010年 / 16卷 / 03期
关键词：
Metric subregularity; multifunction; normal cone; coderivative; GLOBAL ERROR-BOUNDS; REGULARITY; CALMNESS;
D O I：
10.1051/cocv/2009012
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In terms of the normal cone and the coderivative, we provide some necessary and/or sufficient conditions of metric subregularity for (not necessarily closed) convex multifunctions in normed spaces. As applications, we present some error bound results for (not necessarily lower semicontinuous) convex functions on normed spaces. These results improve and extend some existing error bound results.
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页码：601 / 617
页数：17
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