OPTIMALITY CONDITIONS VIA NORM SCALARIZATION IN VECTOR OPTIMIZATION

被引：13
|
作者：
KHANH, PQ
机构：
[1] Cent for Optimization and Control, Hanoi
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1993年 / 31卷 / 03期
关键词：
NORM SCALARIZATION; EFFICIENT POINTS; WEAKLY EFFICIENT POINTS; PROPERLY EFFICIENT POINTS; APPROXIMATION;
D O I：
10.1137/0331029
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
An orthogonality concept in normed spaces is defined and used to obtain sufficient and necessary conditions for efficiency, weak efficiency, and proper efficiency via norm scalarization for the case of general (nonpointed) cones. As an application, a control approximation problem with a nonpointed ordering cone is considered.
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页码：646 / 658
页数：13
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