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
收藏
页码：5541 / 5548
页数：8
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