A NEW APPROACH TO INTERVAL OPERATORS IN L-CONVEX SPACES

被引：0
|
作者：
Yang, Hui [1 ]
Li, Er-Qiang [2 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing Key Lab MCAACI, Beijing 102488, Peoples R China
[2] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2020年 / 21卷 / 12期
基金：
中国国家自然科学基金;
关键词：
L-convex structures; L-remotehood systems; L-interval operators; Galois correspondence; SPECIAL MAPPINGS; (L; SYSTEMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new type of L-interval operators is introduced. In order to characterize the relationships between L-interval operators and (arity 2) L-convex structures, the notion of L-remotehood systems is proposed. By means of L-remotehood systems, it is shown that there is a Galois correspondence between the category of L-interval spaces and that of L-convex spaces. In particular, the category of arity 2 L-convex spaces can be reflectively embedded into that of L-interval spaces.
引用
收藏
页码：2705 / 2714
页数：10
相关论文
共 50 条
12345