序空间中向量值映射极小元的存在性  

On Existence of Minimal Elements of Vector-valued Functions in Ordered Space

作　　者：张秋园 龚丽燕[1] 

机构地区：[1]广东工业大学应用数学学院,广东广州510520

出　　处：《广东工业大学学报》2015年第4期123-126,共4页Journal of Guangdong University of Technology

摘　　要：在序空间中讨论了锥上方下半连续的向量值映射的极小元的存在性,得到了这类映射存在极小元和最小元的两个结果,并对H.W.Corley提出的锥半紧集,指出了锥半紧集不一定是闭集.This article discusses the existence of minimal elements of cone lower semi-continuous mapping in ordered space. The researchers obtain two results on the existence of minimal elements and the smal- lest elements of such functions. It also points out that a cone-semicompact set raised by H. W. Corley is not a necessarily closed set.

关 键 词：向量值映射 锥 极小元 锥上方下半连续映射 

分 类 号：O177.91[理学—数学]