关于几乎下半连续集值映射的连续选择问题

关于几乎下半连续集值映射的连续选择问题

张玉成^1,2

1. 海南师范学院数学系, 海口 571158; 2. 吉林大学数学研究所，长春 130012

收稿日期:2002-12-12 修回日期:1900-01-01 出版日期:2003-07-26 发布日期:2003-07-26
通讯作者: 张玉成

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

ZHANG Yu-cheng^1,2

1. Department of Mathematics, Hainan Normal University, Haikou 571158, China; 2. Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2002-12-12 Revised:1900-01-01 Online:2003-07-26 Published:2003-07-26
Contact: ZHANG Yu-cheng

摘要/Abstract

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.

关键词: 集值映射, 下半连续, 连续选择

Abstract: 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.

Key words: set-valued mapping, lower semi-continuous, continuous selection

中图分类号:

O189.2

张玉成. 关于几乎下半连续集值映射的连续选择问题[J]. J4, 2003, 41(03): 304-308.

ZHANG Yu-cheng. On the Problem of Continuous Selection for Almost Lower Semicontinuous Set-Valued Mapping[J]. J4, 2003, 41(03): 304-308.

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