On Characterizations of Metric Regularity of Multi-Valued Maps

被引：0

作者：

Ivanov, Milen ^{[1
]}

Zlateva, Nadia ^{[2
]}

机构：

[1] Radiant Life Technol, Nicosia, Cyprus

[2] Sofia Univ, Fac Math & Informat, 5 James Bourchier Blvd, Sofia 1164, Bulgaria

来源：

JOURNAL OF CONVEX ANALYSIS | 2020年 / 27卷 / 01期

关键词：

Surjectivity; metric regularity; multi-valued map;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a new proof along the lines of the recent book of A. Ioffe [Variational Analysis of Regular Mappings: Theory and Applications, Springer Monographs in Mathematics (2017)] of a result of H. Frankowska [Some inverse mapping theorems, Ann. Inst. H. Poincare, Anal. Non Lineaire 7 (1990) 183-234] showing that metric regularity of a multi-valued map can be characterized by regularity of its contingent variation - a notion extending contingent derivative.

引用

页码：381 / 388

页数：8

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