Lagrangian duality for minimization of nonconvex multifunctions

被引：51

作者：

Song, W ^{[1
]}

机构：

[1] HARBIN NORMAL UNIV,DEPT MATH,HARBIN,PEOPLES R CHINA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1997年 / 93卷 / 01期

关键词：

nearly convexlike functions; * quasiconvex functions; multifunctions; duality; vector optimization;

D O I：

10.1023/A:1022658019642

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：

Two alternative type theorems for nearly convexlike or * quasiconvex multifunctions are presented. They are used to derive Lagrangian conditions and duality results for vector optimization problems when the objectives and the constraints are nearly convexlike or * quasiconvex multifunctions.

引用

页码：167 / 182

页数：16

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