Efficiency and Henig efficiency for vector equilibrium problems

Authors
Gong, XH
Citation
Xh. Gong, Efficiency and Henig efficiency for vector equilibrium problems, J OPTIM TH, 108(1), 2001, pp. 139-154
Citations number
22
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
108
Issue
1
Year of publication
2001
Pages
139 - 154
Database
ISI
SICI code
0022-3239(200101)108:1<139:EAHEFV>2.0.ZU;2-V
Abstract
We introduce the concept of Henig efficiency for vector equilibrium problem s, and extend scalarization results from vector optimization problems to ve ctor equilibrium problems. Using these scalarization results, we discuss th e existence of the efficient solutions and the connectedness of the set of Henig efficient solutions to the vector-valued Hartman-Stampacchia variatio nal inequality.