Optimality conditions for Pareto nonsmooth nonconvex programming in Banachspaces

Authors
Brandao, AJV Rojas-Medar, MA Silva, GN
Citation
Ajv. Brandao et al., Optimality conditions for Pareto nonsmooth nonconvex programming in Banachspaces, J OPTIM TH, 103(1), 1999, pp. 65-73
Citations number
10
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
103
Issue
1
Year of publication
1999
Pages
65 - 73
Database
ISI
SICI code
0022-3239(199910)103:1<65:OCFPNN>2.0.ZU;2-C
Abstract
In this paper, we consider a vector optimization problem where all function s involved are defined on Banach spaces. We obtain necessary and sufficient criteria for optimality in the form of Karush-Kuhn-Tucker conditions. We a lso introduce a nonsmooth dual problem and provide duality theorems.