Vector variational-like inequality problem and vector optimization problem

被引：8

作者：

Farajzadeh, A. P. ^{[2
]}

Lee, B. S. ^{[1
]}

机构：

[1] Kyungsung Univ, Dept Math, Pusan 608736, South Korea

[2] Razi Univ, Dept Math, Kermanshah 67149, Iran

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 01期

关键词：

(Weakly) Vector variational inequality problems; (Weakly) Vector optimization problem alpha-invex function; Strictly alpha-invex function; Pseudo-alpha-invex function; alpha-invex set; Directionally differentiable function; EXISTENCE;

D O I：

10.1016/j.aml.2009.07.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider (weak) vector variational-like inequality problems ((W)VLIP) and (weak) vector optimization problems ((W)VOP), and check their relationships through the existence of solutions in topological vector spaces. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：48 / 52

页数：5

共 7 条

[1] EXISTENCE OF SOLUTIONS FOR A VECTOR VARIATIONAL INEQUALITY - AN EXTENSION OF THE HARTMANN-STAMPACCHIA THEOREM [J].