METRIC REGULARITY OF COMPOSITE MULTIFUNCTIONS IN BANACH SPACES

被引：2

作者：

Zheng, Xi Yin ^{[1
]}

Ng, Kung Fu ^{[2
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 6A期

关键词：

Multifunction; Open mapping; Metric regularity; Error bound;

D O I：

10.11650/twjm/1500405611

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider metric regularity of composite multifunctions and establish an inequality on the moduli of metric regularity. Refining the original proofs of the Robinson-Ursescu theorem and Lyusternik-Graves theorem, we give an unified analysis for these two theorems, applicable to the composite of a closed convex multifunction and a continuous function.

引用

页码：1723 / 1735

页数：13

共 16 条

[1] [Anonymous], 2002, NONCON OPTIM ITS APP
[2] DMITRUK AV, 1980, USP MAT NAUK, V35, P11
[3] Regularity and conditioning of solution mappings in variational analysis
Dontchev, AL
Rockafellar, RT
[J]. SET-VALUED ANALYSIS, 2004, 12 (1-2): : 79 - 109
[4] The radius of metric regularity
Dontchev, AL
Lewis, AS
Rockafellar, RT
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (02) : 493 - 517
[5] Dontchev AL., 1996, J CONVEX ANAL, V3, P45, DOI [10.1007/s11228-019-00524-1, DOI 10.1007/S11228-019-00524-1]
[6] SOME MAPPING THEOREMS
GRAVES, LM
[J]. DUKE MATHEMATICAL JOURNAL, 1950, 17 (02) : 111 - 114
[7] Metric regularity and subdifferential calculus
Ioffe, AD
[J]. RUSSIAN MATHEMATICAL SURVEYS, 2000, 55 (03) : 501 - 558
[8] Lyusternik L.A., 1934, MAT SBORNIK, V41, P390
[9] COMPLETE CHARACTERIZATION OF OPENNESS, METRIC REGULARITY, AND LIPSCHITZIAN PROPERTIES OF MULTIFUNCTIONS
MORDUKHOVICH, B
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 340 (01) : 1 - 35
[10] MORDUKHOVICH B. S., 2006, GRUNDLEHREN MATH WIS, V330, DOI DOI 10.1007/3-540-31246-3

← 1 2 →