Farkas-type theorems for positively homogeneous semi-infinite systems

被引：9
|
作者：
López, MA
Martínez-Legaz, JE
机构：
[1] Univ Alicante, Dept Estadist & Invest Operat, Alicante 03071, Spain
[2] Univ Autonoma Barcelona, CODE & Dept Econ & Hist Econ, Bellaterra 08193, Spain
来源：
OPTIMIZATION | 2005年 / 54卷 / 4-5期
关键词：
Farkas-type theorems; positively homogeneous functions; generalized convex conjugation; semi-infinite inequality systems; linear systems; min-type systems;
D O I：
10.1080/02331930500100205
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：
This article deals with systems of infinitely many inequalities involving functions that are positively homogeneous over a nonempty convex cone of the Euclidean space. Generalized convex conjugation theory is applied to derive a Farkas-type and a Gale-type theorem for this kind of systems. These results are particularized for linear and min-type inequality systems.
引用
收藏
页码：421 / 431
页数：11
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