On classes of generalized convex functions, Gordan-Farkas type theorems, and Lagrangian duality

被引：28

作者：

Frenk, JBG

Kassay, G

机构：

[1] Erasmus Univ, Inst Econometr, NL-3000 DR Rotterdam, Netherlands

[2] Univ Babes Bolyai, Fac Math, R-3400 Cluj Napoca, Romania

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1999年 / 102卷 / 02期

关键词：

generalized convexity; Gordan-Farkas type theorems; Lagrangian duality;

D O I：

10.1023/A:1021780423989

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：

In this paper, we introduce several classes of generalized convex functions already discussed in the literature and show the relation between these classes. Moreover, a Gordan-Farkas type theorem is proved for all these classes and it is shown how these theorems can be used to verify strong Lagrangian duality results in finite-dimensional optimization.

引用

页码：315 / 343

页数：29

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