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集值映射的最小选择与应用
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O189.2[理学—数学;理学—基础数学]
  • 作者机构：[1]南京信息工程大学数理学院,南京210044
  • 相关基金：基金项目：国家自然科学基金（10671094）资助
作者： 朱杏华[1], 肖建中[1]
关键词： 集值映射, 最小选择, 齐性右逆, 线性右逆, Set-valued mappings, Minimum selection, Homogeneous right inverse, Linearright inverse.
中文摘要：

该文利用Banach空间几何理论研究了集值映射最小选择的连续性,给出了若干与空间几何性质相关的连续性定理,并利用所得结果讨论了满线性算子最小右逆的连续性问题.

英文摘要：

In this paper,the continuation properties of the minimum selections of set-valued mappings are studied by utilizing the theory of geometry in Banach space,and some continuity theorems depended on geometric properties of spaces are given.On the basis of these,the problem concerning the continuation properties of minimum right inverses for surjective linear operators is discussed.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:5382