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

页码：777 / 786

页数：10

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