Remarks on relations between vector variational inequality and vector optimization problem

Authors
Citation
Gm. Lee et Mh. Kim, Remarks on relations between vector variational inequality and vector optimization problem, NONLIN ANAL, 47(1), 2001, pp. 627-635
Citations number
18
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
1
Year of publication
2001
Part
1
Pages
627 - 635
Database
ISI
SICI code
0362-546X(200108)47:1<627:RORBVV>2.0.ZU;2-U
Abstract
In this paper, we discuss relations between a solution of a vector variatio nal inequality problem with upper Dini directional derivatives or gradients and a properly efficient solution or an efficient solution of a vector opt imization problem. In particular, we give conditions under which equivalent relations between the two problems hold.