NONCONVEX SEPARATION THEOREMS AND SOME APPLICATIONS IN VECTOR OPTIMIZATION

被引：342
|
作者：
GERTH, C [1 ]
WEIDNER, P [1 ]
机构：
[1] MARTIN LUTHER UNIV,SEKT MATH,O-4010 HALLE,GERMANY
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1990年 / 67卷 / 02期
关键词：
efficiency; proper efficiency; Separation theorems; vector optimization; weak efficiency;
D O I：
10.1007/BF00940478
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
Separation theorems for an arbitrary set and a not necessarily convex set in a linear topological space are proved and applied to vector optimization. Scalarization results for weakly efficient points and properly efficient points are deduced. © 1990 Plenum Publishing Corporation.
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页码：297 / 320
页数：24
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