PROPER EFFICIENCY FOR SET-VALUED OPTIMIZATION PROBLEMS AND VECTOR VARIATIONAL-LIKE INEQUALITIES

被引：3
|
作者：
Long, Xian Jun [1 ]
Quan, Jing [2 ]
Wen, Dao-Jun [1 ]
机构：
[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
[2] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 03期
基金：
中国国家自然科学基金;
关键词：
set-valued optimization problem; vector variational-like inequality; proper efficiency; contingent epiderivative; generalized cone-preinvexity; OPTIMALITY CONDITIONS; CONE;
D O I：
10.4134/BKMS.2013.50.3.777
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to establish some relationships between proper efficiency of set-valued optimization problems and proper efficiency of vector variational-like inequalities under the assumptions of generalized cone-preinvexity. Our results extend and improve the corresponding results in the literature.
引用
收藏
页码：777 / 786
页数：10
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