关于几乎下半连续集值映射的连续选择问题  

On the Problem of Continuous Selection for Almost Lower Semicontinuous Set-Valued Mapping

作　　者：张玉 成 

机构地区：[1]海南师范学院数学系,海口571158

出　　处：《吉林大学学报（理学版）》2003年第3期304-308,共5页Journal of Jilin University:Science Edition

基　　金：海南省自然科学基金(批准号:19901);海南省教育厅资助项目基金(批准号:HJSK999-1).

摘　　要：对定义在紧度量空间上,取值于n(n>1)维Banach空间的具有有界闭凸集值的集值映射,给出一个连续选择定理.此集值映射满足一个假设,它不同于弱下半连续.作为应用推广了集值映射的不动点定理.The present paper presents a continuous selection theorem for closed bounded convex setvalued mapping which is defined on a conpact metric space and takes images in a n Banach space (n>1). This mapping satisfies the assumption which is different from weak lower semicontinuity. The application is made to the fixed point theorem.

关 键 词：紧度量空间 BANACH空间 集值映射 几乎下半连续 连续选择定理 有界闭凸集值 不动点定理 

分 类 号：O177.91[理学—数学]