CHARACTERIZATIONS OF PROPERLY QUASICONVEX SET-VALUED MAPS

被引：0
|
作者：
Li, Fei [1 ]
Yang, Xinmin [2 ]
机构：
[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
[2] Chongqing Normal Univ, Sch Math Sci, Chongqing 400047, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2017年 / 18卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Nonlinear scalarization function; quasiconvex set-valued maps; properly quasiconvex set-valued maps; MINIMAX THEOREM; OPTIMIZATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We focus on proper quasiconvexity of set-valued maps in this paper. Based on two ordinary set-order relations in a real topological vector space, characterizations of properly quasiconvex set-valued maps are established respectively. The approaches we use contain two different kinds of level sets and a nonlinear scalarization function.
引用
收藏
页码：473 / 483
页数：11
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