TILT STABILITY, UNIFORM QUADRATIC GROWTH, AND STRONG METRIC REGULARITY OF THE SUBDIFFERENTIAL

被引：65

作者：

Drusvyatskiy, D. ^{[1
]}

Lewis, A. S. ^{[1
]}

机构：

[1] Cornell Univ, Sch Operat Res & Informat Engn, Ithaca, NY 14853 USA

来源：

SIAM JOURNAL ON OPTIMIZATION | 2013年 / 23卷 / 01期

基金：

美国国家科学基金会;

关键词：

tilt stability; variational analysis; subdifferentials; quadratic growth; strong metric regularity; prox-regularity;

D O I：

10.1137/120876551

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that uniform second-order growth, tilt stability, and strong metric regularity of the subdifferential-three notions that have appeared in entirely different settings-are all essentially equivalent for any lower-semicontinuous, extended real-valued function.

引用

页码：256 / 267

页数：12

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