We first give a little improvement of nonlinear scalarizing function for vector
optimization problem organized by Luc and Tammer-Weidner. As applications, we present
Gordan's type alternative theorems for vector-valued function, optimality conditions for
vector optimization problem and an existence theorem for vector saddle-points.
Publié le : 2010-05-15
Classification:
Nonlinear scalarization,
nonconvex separation theorem,
Gordan's type alternative theorem,
vector-valued function,
optimality conditions,
weak saddle points,
90C29,
49J40,,
49K35,
90C46
@article{1302268215,
author = {Araya, Yousuke},
title = {Nonlinear scalarizations and some applications in vector optimization},
journal = {Nihonkai Math. J.},
volume = {21},
number = {1},
year = {2010},
pages = { 35-45},
language = {en},
url = {http://dml.mathdoc.fr/item/1302268215}
}
Araya, Yousuke. Nonlinear scalarizations and some applications in vector optimization. Nihonkai Math. J., Tome 21 (2010) no. 1, pp. 35-45. http://gdmltest.u-ga.fr/item/1302268215/