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].

引用

页码：573 / 588

页数：16

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