| 关于几乎下半连续集值映射的连续选择问题 |
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| 引用本文： | 张玉成.关于几乎下半连续集值映射的连续选择问题[J].吉林大学学报(理学版),2003,41(3):304-308. |
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| 作者姓名： | 张玉成 |
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| 作者单位： | 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 |
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| 基金项目： | 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). |
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| 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.
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| 关 键 词： | 集值映射 下半连续 连续选择 |
| 文章编号： | 1671-5489(2003)03-0304-05 |
| 收稿时间： | 2002-12-12 |
| 修稿时间： | 2002年12月12 |
On the Problem of Continuous Selection for Almost Lower Semicontinuous Set-Valued Mapping |
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| ZHANG Yu-cheng.On the Problem of Continuous Selection for Almost Lower Semicontinuous Set-Valued Mapping[J].Journal of Jilin University: Sci Ed,2003,41(3):304-308. |
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| Authors: | ZHANG Yu-cheng |
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| Institution: | 1. Department of Mathematics, Hainan Normal University, Haikou 571158, China; 2. Institute of Mathematics, Jilin University, Changchun 130012, China |
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| 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. |
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| Keywords: | set-valued mapping lower semi-continuous continuous selection |
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