集值映射的锥连续性及性质
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夏顺友[1] 向淑文[2] 孙修勇[2] 曾诚[2]
[1]贵州教育学院数学系,贵州贵阳550003 [2]贵州大学理学院,贵州贵阳550025
摘 要:
本文引入集值映射的锥下半连续概念,给出并证明了集值映射锥上半连续、锥下半连续、锥连续的几个充分必要条件,锥上半连续集值映射的弱下水平闭性质和锥下半连续集值映射的强上水平闭性质.[著者文摘]
文章出处:
《贵州大学学报:自然科学版》-2007年24卷6期 -551-554页
Journal of Guizhou University(Natural Science)
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
1000-5269(2007)06-0551-04
[参考文献]
Cone-continuity of Set-valued Map and it's Properties
XIA Shun-you , XIANG Shu-wen, SUN Xiu-yong, ZENG Cheng (1. Mathmatics Department,Guizhou Institute of Education,Guiyang 550003,China; 2. College of science, Guizhou University ,Guiyang 550025 ,China)
Abstract:
In this paper we introduced cone-lower-semicontinuity of set-valued map, then gave and proved several equivalence discriptions of cone-upper-semicontinuity, cone-lower-semicontinuity, and cone-continuity of set-valued map, and two properties for cone-upper-semicontinuity, cone-lower-semicon- tinuity of set-valued map.[著者文摘]
Key words:
upper-semi-continuity ; lower-semi-continuity; cone-upper-semi-continuity ; cone-lower-semi- continuity
收稿日期: 2007-09-12
基金资助:
国家自然科学基金(10061002)

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