The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces

被引：0
|
作者：
Zhou, Zhi-Ang [1 ]
机构：
[1] Chongqing Univ Technol, Coll Math & Stat, Chongqing 400054, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
VECTOR OPTIMIZATION; PROPER EFFICIENCY; SUBCONVEXLIKENESS; WEAK;
D O I：
10.1155/2013/105617
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new notion of the ic-cone convexlike set-valued map characterized by the algebraic interior and the vector closure is introduced in real ordered linear spaces. The relationship between the ic-cone convexlike set-valued map and the nearly cone subconvexlike set-valued map is established. The results in this paper generalize some known results in the literature from locally convex spaces to linear spaces.
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页数：4
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