Farkas-type theorems for positively homogeneous systems in ordered topological vector spaces

被引：5

作者：

Doagooei, A. R. ^{[1
,2
]}

机构：

[1] Shahid Bahonar Univ Kerman, Mahani Math Res Ctr, Kerman, Iran

[2] Shahid Bahonar Univ Kerman, Dept Math, Kerman, Iran

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 14期

关键词：

Farkas-type theorem; Semi-infinite inequality system; Increasing and positively homogeneous (IPH) function; Normal set; Abstract convexity;

D O I：

10.1016/j.na.2012.05.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present versions of the Farkas Lemma and the Gale Lemma for a semi-infinite system involving positively homogeneous functions in a topological vector space. In particular, we present two such versions for a semi-infinite system containing min-type functions. Our main theoretical tool is abstract convexity. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：5541 / 5548

页数：8

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