Weak sharp minima for semi-infinite optimization problems with applications

被引：23
|
作者：
Zheng, Xi Yin [1 ]
Yang, Xiao Qi
机构：
[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China
[2] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
来源：
SIAM JOURNAL ON OPTIMIZATION | 2007年 / 18卷 / 02期
关键词：
semi-infinite optimization; sharp minima; weak sharp minima; subdifferential; normal cone;
D O I：
10.1137/060670213
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study local weak sharp minima and sharp minima for smooth semi- infinite optimization problems SIP. We provide several dual and primal characterizations for a point to be a sharp minimum or a weak sharp minimum of SIP. As applications, we present several sufficient and necessary conditions of calmness for infinitely many smooth inequalities. In particular, we improve some calmness results in [ R. Henrion and J. Outrata, Math. Program., 104 ( 2005), pp. 437 - 464].
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页码：573 / 588
页数：16
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