ON VECTOR VARIATIONAL-INEQUALITIES - APPLICATION TO VECTOR EQUILIBRIA

Authors
YANG XQ GOH CJ
Citation
Xq. Yang et Cj. Goh, ON VECTOR VARIATIONAL-INEQUALITIES - APPLICATION TO VECTOR EQUILIBRIA, Journal of optimization theory and applications, 95(2), 1997, pp. 431-443
Citations number
9
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
95
Issue
2
Year of publication
1997
Pages
431 - 443
Database
ISI
SICI code
0022-3239(1997)95:2<431:OVV-AT>2.0.ZU;2-D
Abstract
We motivate the study of a vector variational inequality by a practica l flow equilibrium problem on a network, namely a generalization of th e well-known Wardrop equilibrium principle. Both weak and strong forms of the vector variational inequality are discussed and their relation ships to a vector optimization problem are established under various c onvexity assumptions.