VERIFIABLE CONDITIONS FOR OPENNESS AND REGULARITY OF MULTIVALUED MAPPINGS IN BANACH-SPACES

被引：43

作者：

JOURANI, A ^{[1
]}

THIBAULT, L ^{[1
]}

机构：

[1] UNIV MONTPELLIER 2,DEPT SCI,F-34095 MONTPELLIER 5,FRANCE

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 347卷 / 04期

关键词：

OPENNES; METRIC REGULARITY; APPROXIMATE SUBDIFFERENTIAL; STRONGLY COMPACTLY LIPSCHITZIAN MAPPINGS; PARTIALLY COMPACTLY EPI-LIPSCHITZIAN MAPPINGS; LAGRANGE MULTIPLIERS;

D O I：

10.2307/2154809

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper establishes verifiable conditions in terms of approximate subdifferentials implying openness and metric regularity of multivalued mappings in Banach spaces. The results are then applied to derive Lagrange multipliers for general nonsmooth vector optimization problems.

引用

页码：1255 / 1268

页数：14

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