集值映射的几乎半连续性 | |
许文彬 | |
刊名 | http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=jmxz200302019&dbcode=CJFQ&dbname=CJFQ2003 |
2012-06-05 ; 2012-06-05 | |
关键词 | 拓扑空间 超空间 集值映射 几乎半连续性 topological space super-space set-valued mapping almost semi-continuous O189.1 |
其他题名 | Almost Semi-continuity of Set-Valued Mappings on Super-spaces |
中文摘要 | 引入了定义在一般拓扑空间上,取值于超空间的几乎上半连续和几乎下半连续集值映射等概念,分别系统地研究了几乎上半连续集值映射的性质和几乎下半连续集值映射的性质 .证明几乎上半连续集值映射和几乎下半连续集值映射都是几乎连续集值映射与半连续集值映射的推广与扩充.给出了几乎下半连续集值映射的两个子集网式的特征性质.; In this paper,the concepts of almost upper and almost lower semicontinuous setvalued mappings defined in general topological spaces and valued in superspaces are introduced.The properties of them are systematically and respectively discussed,and that almost upper semicontinuous setvalued mappings and almost lower semicontinuous setvalued mappings are both the generalization of almost continuous setvalued mappings and semicontinuous setvalued mappings are proved.Finally,the two characteristic properties of almost lower semicontinuous setvalued mappings are given by net of subsets.; 【作者单位】集美大学基础教学部 福建厦门361021;【作者英文名】XU Wenbin(Department of Basic Courses,Jimei University,Xiamen 361021,China) |
语种 | 中文 |
内容类型 | 期刊论文 |
源URL | [http://ir.calis.edu.cn/hdl/235041/16047] |
专题 | 集美大学 |
推荐引用方式 GB/T 7714 | 许文彬. 集值映射的几乎半连续性[J]. http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=jmxz200302019&dbcode=CJFQ&dbname=CJFQ2003,2012, 2012. |
APA | 许文彬.(2012).集值映射的几乎半连续性.http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=jmxz200302019&dbcode=CJFQ&dbname=CJFQ2003. |
MLA | 许文彬."集值映射的几乎半连续性".http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=jmxz200302019&dbcode=CJFQ&dbname=CJFQ2003 (2012). |
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