QUALIFICATION CONDITIONS FOR MULTIVALUED FUNCTIONS IN BANACH-SPACES WITH APPLICATIONS TO NONSMOOTH VECTOR OPTIMIZATION PROBLEMS

Authors
JOURANI A
Citation
A. Jourani, QUALIFICATION CONDITIONS FOR MULTIVALUED FUNCTIONS IN BANACH-SPACES WITH APPLICATIONS TO NONSMOOTH VECTOR OPTIMIZATION PROBLEMS, Mathematical programming, 66(1), 1994, pp. 1-23
Citations number
53
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Mathematical programming → ACNP
ISSN journal
00255610
Volume
66
Issue
1
Year of publication
1994
Pages
1 - 23
Database
ISI
SICI code
0025-5610(1994)66:1<1:QCFMFI>2.0.ZU;2-X
Abstract
In this paper we introduce qualification conditions for multivalued fu nctions in Banach spaces involving the A-approximate subdifferential, and we show that these conditions guarantee metric regularity of multi valued functions. The results are than applied for deriving Lagrange m ultipliers of Fritz-John type and Kuhn-Tucker type for infinite non-sm ooth vector optimization problems.