Linear and nonlinear error bounds for lower semicontinuous functions

被引：7

作者：

Chao, Mian-tao ^{[1
]}

Cheng, Cao-zong ^{[1
]}

机构：

[1] Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China

来源：

OPTIMIZATION LETTERS | 2014年 / 8卷 / 04期

关键词：

Error bound; Nonlinear error bound; Subslope; Strong slope; METRIC-SPACES; SYSTEMS;

D O I：

10.1007/s11590-013-0648-z

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we give some characterizations of linear and nonlinear error bounds for lower semicontinuous functions by a new notion, called subslope. And, extend some results of Aze and Corvellec (SIAM J Optim 12:913-927, 2002) and Corvellec and Motreanu (Math Program Ser A 114:291-319, 2008) slightly. Furthermore, we get a sufficient and necessary condition for global linear error bounds.

引用

页码：1301 / 1312

页数：12

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