Approximate duality for vector quasi-equilibrium problems and applications

被引：7

作者：

Pham Huu Sach ^{[2
]}

Le Anh Tuan ^{[1
]}

Nguyen Ba Minh ^{[3
]}

机构：

[1] Ninh Thuan Coll Pedag, Ninh Thuan, Vietnam

[2] Hanoi Inst Math, Hanoi, Vietnam

[3] Hanoi Univ Commerce, Hanoi, Vietnam

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 11期

关键词：

epsilon-duality; epsilon-solution; Vector quasi-equilibrium problem; Vector optimization problem; Set-valued map; SET-VALUED MAPS; OPTIMIZATION PROBLEMS; MULTIOBJECTIVE OPTIMIZATION; VARIATIONAL-INEQUALITIES; PROPER EFFICIENCY; EXISTENCE; NOTION;

D O I：

10.1016/j.na.2010.01.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce new versions of epsilon-dual problems of a vector quasi-equilibrium problem with set-valued maps, and we give an epsilon-duality result between approximate solutions of the primal and dual problems. As the first application of the main result, we obtain an epsilon-duality for a vector quasi-equilibrium problem whose epsilon-solutions are understood in the sense of proper efficiency. The second application is devoted to an epsilon-duality for a vector optimization problem with set-valued maps. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3994 / 4004

页数：11

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