On Derivative Criteria for Metric Regularity

被引：3

作者：

Dontchev, Asen L. ^{[1
]}

Frankowska, Helene ^{[2
]}

机构：

[1] Math Reviews, 416 Fourth St, Ann Arbor, MI 48107 USA

[2] Univ Paris 06, Inst Math Jussieu, CNRS, F-75252 Paris, France

来源：

COMPUTATIONAL AND ANALYTICAL MATHEMATICS: IN HONOR OF JONATHAN BORWEIN'S 60TH BIRTHDAY | 2013年 / 50卷

关键词：

Set-valued mapping; Metric regularity; Strong metric regularity; Graphical derivative; Coderivative Paratingent derivative;

D O I：

10.1007/978-1-4614-7621-4_16

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a simple self-contained proof of the equality which links directly the graphical derivative and coderivative criteria for metric regularity. Then we present a sharper form of the criterion for strong metric regularity involving the paratingent derivative.

引用

页码：365 / 374

页数：10

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[2]

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Frankowska, Helene ;

Quincampoix, Marc .

MATHEMATICAL PROGRAMMING, 2012, 132 (1-2) :333-354

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