OPTIMALITY CONDITIONS FOR APPROXIMATE SOLUTIONS OF VECTOR OPTIMIZATION PROBLEMS

被引：33

作者：

Gao, Ying ^{[1
]}

Yang, Xinmin ^{[1
]}

Teo, Kok Lay ^{[2
]}

机构：

[1] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China

[2] Curtin Univ, Dept Math & Stat, Perth, WA, Australia

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2011年 / 7卷 / 02期

关键词：

Vector optimization problem; approximate solutions; nonlinear scalar functions; cone subconvexlike; scalarization; PROPER EFFICIENCY; VARIATIONAL PRINCIPLE; RESPECT; THEOREMS;

D O I：

10.3934/jimo.2011.7.483

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we introduce a new kind of properly approximate efficient solution of vector optimization problems. Some properties for this new class of approximate solutions are established. Also necessary and sufficient conditions via nonlinear scalarizations are obtained for properly approximate solutions. And under the assumption of cone subconvexlike functions, we derive linear scalarizations for properly approximate efficient solutions.

引用

页码：483 / 496

页数：14

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