四川大学学报（自然科学版）2006，Vol.43Issue(2)：249-252,4.
超凸度量空间中取值的一类非扩张集值映象
Nonexpansive Multifunctions with Ranges in Hyperconvex Spaces
摘要
Abstract
Ball intersection valued nonexpansive multifunctions with ranges in hyperconvex space is studied. It is showed that such multifuntion A on a subspace of a metric space M has an nonexpansive extension A on M with same form of ranges and for every nonexpansive point valued selection T of A there is a nonexpansive point valued selection T of A such that T is the nonexpansive extension of T. Two equivalent conditions about hyperconvexity are also obtained.关键词
集值映象/非扩张延拓/超凸空间/单值选择Key words
nonexpansive multifunction/hyperconvex space/extension/selection分类
数理科学引用本文复制引用
杨泽恒,陈瑛..超凸度量空间中取值的一类非扩张集值映象[J].四川大学学报（自然科学版）,2006,43(2):249-252,4.基金项目
Support in part by Foundation of Yunnan Education Committee(0111179) （0111179）
