节点文献
拓扑空间中的连续逼近选择和几乎不动点(英文)
THE CONTINUOUS APPROXIMATE SELECTIONAND THE ALMOST FIXED POINTIN TOPOLOGICAL SPACE
【摘要】 本文研究连续逼近选择问题 研究结果表明 ,几乎下半连续的集值映射有连续逼近选择 .从而 ,著名的Michael连续逼近选择定理被改进 .应用这个结果 ,一个几乎不动点定理被获得
【Abstract】 The purpose of the paper is to study the continuous approximate selection problem. The results presented in this paper show that a set\|valued mapping with almost lower semicontinuity has a continuous approximate selection. By using the result, an almost fixed point theorem is obtained and the Michael continuous approximate selection theorem is improved.
【关键词】 几乎下半连续映射;
连续逼近选择;
仿紧子集;
几乎不动点;
【Key words】 almost lower semicontinuous mapping; continuous approximate selection; paracompact subset; almost fixed point;
【Key words】 almost lower semicontinuous mapping; continuous approximate selection; paracompact subset; almost fixed point;
【基金】 ThisworkissupportedbytheNaturalScienceFoundationofChina(No .1 996 1 0 0 4 )andYunnanSci.Tech .Commission(No .2 0 0 2A0 0 5 8M )
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2004年02期
- 【分类号】O189.1
- 【下载频次】31