Extensions of metric regularity

被引：12

作者：

Dmitruk, Andrei V. ^{[2
]}

Kruger, Alexander Y. ^{[1
]}

机构：

[1] Univ Ballarat, Sch Informat Technol & Math Sci, Ballarat, Vic 3350, Australia

[2] RAS, Cent Econ & Math Inst, Moscow 117418, Russia

来源：

OPTIMIZATION | 2009年 / 58卷 / 05期

关键词：

variational analysis; Lyusternik-Graves theorem; metric regularity; set-valued mapping; STABILITY; THEOREM;

D O I：

10.1080/02331930902928674

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 article is devoted to some extensions of the metric regularity property for mappings between metric or Banach spaces. Several new concepts are investigated in a unified manner: uniform metric regularity, metric regularity along a subspace, metric multi-regularity for mappings into product spaces (when each component is perturbed independently), as well as their Lipschitz-like counterparts. The properties are characterized in terms of certain derivative-like constants. Regularity criteria are established based on a set-valued extension of a nonlocal version of the Lyusternik-Graves theorem due to Milyutin.

引用

页码：561 / 584

页数：24

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