Holder metric regularity of set-valued maps

被引：48

作者：

Frankowska, Helene ^{[1
,2
]}

Quincampoix, Marc ^{[3
]}

机构：

[1] CNRS, F-75252 Paris 05, France

[2] Univ Paris 06, F-75252 Paris 05, France

[3] Univ Bretagne Occidentale, Math Lab, CNRS, UMR 6205, F-29200 Brest, France

来源：

MATHEMATICAL PROGRAMMING | 2012年 / 132卷 / 1-2期

关键词：

INEQUALITIES; STABILITY; MAPPINGS;

D O I：

10.1007/s10107-010-0401-7

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper is devoted to metric regularity of set-valued maps from a complete metric space to a Banach space. In particular we extend a known characterization of the regularity modulus to maps defined on reflexive spaces. The higher order metric regularity, i.e. an extension of metric regularity to Holder context, is also investigated using high order variations of set-valued maps and results of similar nature are obtained for conical metric regularity.

引用

页码：333 / 354

页数：22

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