On duality theorems for nonsmooth Lipschitz optimization problems

Authors
Kim, MH Lee, GM
Citation
Mh. Kim et Gm. Lee, On duality theorems for nonsmooth Lipschitz optimization problems, J OPTIM TH, 110(3), 2001, pp. 669-675
Citations number
8
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
110
Issue
3
Year of publication
2001
Pages
669 - 675
Database
ISI
SICI code
0022-3239(200109)110:3<669:ODTFNL>2.0.ZU;2-0
Abstract
A nonsmooth Lipschitz vector optimization problem (VP) is considered. Using the Fritz John type necessary optimality conditions for (VP), we formulate the Mond-Weir dual problem (VD) and establish duality theorems for (VP) an d (VD) under (strict) pseudoinvexity assumptions on the functions. Our dual ity theorems do not require a constraint qualification.