Open Access
2010 Nonlinear scalarizations and some applications in vector optimization
Yousuke Araya
Nihonkai Math. J. 21(1): 35-45 (2010).


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.


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Yousuke Araya. "Nonlinear scalarizations and some applications in vector optimization." Nihonkai Math. J. 21 (1) 35 - 45, 2010.


Published: 2010
First available in Project Euclid: 8 April 2011

zbMATH: 1237.90217
MathSciNet: MR2798093

Primary: 90C29
Secondary: 49J40, , 49K35 , 90C46

Keywords: Gordan's type alternative theorem , nonconvex separation theorem , Nonlinear scalarization , optimality conditions , vector-valued function , weak saddle points

Rights: Copyright © 2010 Niigata University, Department of Mathematics

Vol.21 • No. 1 • 2010
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