Higher-order metric subregularity and its applications

被引：30

作者：

Mordukhovich, Boris S. ^{[1
]}

Ouyang, Wei ^{[1
]}

机构：

[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2015年 / 63卷 / 04期

基金：

美国国家科学基金会;

关键词：

Variational analysis; Metric subregularity and strong subregularity of higher order; Newton and quasi-Newton methods; Generalized normals and subdifferentials; REGULARITY; CONVERGENCE; STABILITY;

D O I：

10.1007/s10898-015-0271-x

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：

This paper is devoted to the study of metric subregularity and strong subregularity of any positive order for set-valued mappings in finite and infinite dimensions. While these notions have been studied and applied earlier for and-to a much lesser extent-for , no results are available for the case . We derive characterizations of these notions for subgradient mappings, develop their sensitivity analysis under small perturbations, and provide applications to the convergence rate of Newton-type methods for solving generalized equations.

引用

页码：777 / 795

页数：19

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