A result on vector variational inequalities with polyhedral constraint sets

Authors
Lee, GM Yen, ND
Citation
Gm. Lee et Nd. Yen, A result on vector variational inequalities with polyhedral constraint sets, J OPTIM TH, 109(1), 2001, pp. 193-197
Citations number
7
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
109
Issue
1
Year of publication
2001
Pages
193 - 197
Database
ISI
SICI code
0022-3239(200104)109:1<193:AROVVI>2.0.ZU;2-7
Abstract
In this note, by using some well-known results on properly efficient soluti ons of vector optimization problems, we show that the Pareto solution set o f a vector variational inequality with a polyhedral constraint set can be e xpressed as the union of the solution sets of a family of (scalar) variatio nal inequalities.