NONCONVEX SEPARATION THEOREMS AND SOME APPLICATIONS IN VECTOR OPTIMIZATION

被引：352

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.

引用

页码：297 / 320

页数：24

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