摘要
作者研究了超凸空间中球交为值的非扩张集值映象，指出在度量空间M的予空间上的这样的映象A必有在M上的具球交值的非扩张延拓^-A，且对A的任何非扩张单值选择T及A的任何在M上具球交值的非扩张延拓^-，^-必有非扩张单值选择亍，使^-T为T在M上的非扩张延拓，并获得了两个关于超凸性的等价条件。
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.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第2期249-252,共4页
Journal of Sichuan University(Natural Science Edition)
基金
FoundationofYunnanEducationCommittee(0111179)
关键词
集值映象
非扩张延拓
超凸空间
单值选择
nonexpansive multiftmction
hyperconvex space
extension
selection
