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

Authors
JOURANI A THIBAULT L
Citation
A. Jourani et L. Thibault, VERIFIABLE CONDITIONS FOR OPENNESS AND REGULARITY OF MULTIVALUED MAPPINGS IN BANACH-SPACES, Transactions of the American Mathematical Society, 347(4), 1995, pp. 1255-1268
Citations number
44
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
347
Issue
4
Year of publication
1995
Pages
1255 - 1268
Database
ISI
SICI code
0002-9947(1995)347:4<1255:VCFOAR>2.0.ZU;2-2
Abstract
This paper establishes verifiable conditions in terms of approximate s ubdifferentials implying openness and metric regularity of multivalued mappings in Banach spaces. The results are then applied to derive Lag range multipliers for general nonsmooth vector optimization problems.