PERTURBATION OF ERROR BOUNDS FOR VECTOR-VALUED FUNCTIONS

被引：0

作者：

Hu, Chunhai ^{[1
]}

He, Qinghai ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China

来源：

PACIFIC JOURNAL OF OPTIMIZATION | 2021年 / 17卷 / 02期

基金：

中国国家自然科学基金;

关键词：

perturbation; error bound; conic inequality; optimization; LOWER SEMICONTINUOUS FUNCTIONS; LINEAR INEQUALITIES; METRIC REGULARITY; SYSTEMS; MULTIFUNCTIONS; STABILITY;

D O I：

暂无

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：

Motivated by Zheng and Ng's paper (ESAIM Control Optim. Calc. Var. doi:10.1051/cocv/2018047) where they study the stability of error bounds for vector-valued functions under the assumption that the ordering cone has a nonempty interior, we consider the stability issues of error bounds for vector-valued functions under a weaker assumption that the ordering cone is dually compact. In particular, we provide several stable results on error bounds in term of the radius of error bounds which extend some results on the stability of error bounds in the literature.

引用

页码：321 / 335

页数：15

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