赋范空间中闭凸集族的正则性条件  

The Regularity Condition of Closed Convex Sets in Normed Spaces

作　　者：刘祥洋[1] 

机构地区：[1]东北林业大学

出　　处：《哈尔滨师范大学自然科学学报》2009年第6期31-33,共3页Natural Science Journal of Harbin Normal University

基　　金：科技基础性工作专项专题;技术创新方法(Triz理论)试点建设与推广(2007FY140300-01-06)

摘　　要：考虑在赋范空间中,具有非空交集的闭凸集族的正则性条件,并利用集值映射来证明在Banach空间中存在Proximinal集的集族的核非空且集族交集有界时,正则性也存在.In normed spaces,the regularity condition of a family of closed convex sets with nonempty intersection are considered,and in Banach space when the core of the family which exists a Proximinal set is nonempty and its intersection is bounded,then the regularity exists,which is proved by set-valued mapping.

关 键 词：闭凸集族 正则性 核 Proximinal集 

分 类 号：O175.29[理学—数学]