SUPER EFFICIENCY IN VECTOR OPTIMIZATION

被引：209

作者：

BORWEIN, JM ^{[1
]}

ZHUANG, D ^{[1
]}

机构：

[1] MT ST VINCENT UNIV,DEPT MATH,HALIFAX B3M 2J6,NS,CANADA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 338卷 / 01期

关键词：

VECTOR OPTIMIZATION; EFFICIENCY; PROPER EFFICIENCY; SUPER EFFICIENCY; DENSITY THEOREM; CHEBYSHEV SCALARIZATION;

D O I：

10.2307/2154446

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a new concept of efficiency in vector optimization. This concept, super efficiency, is shown to have many desirable properties. In particular, we show that in reasonable settings the super efficient points of a set are norm-dense in the efficient frontier. We also provide a Chebyshev characterization of super efficient points for nonconvex sets and a scalarization theory when the underlying set is convex.

引用

页码：105 / 122

页数：18

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