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.

引用

页数：4

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