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拓扑空间中的非空交定理及其应用

方敏 黄南京

方敏, 黄南京. 拓扑空间中的非空交定理及其应用[J]. 应用数学和力学, 2009, 30(7): 847-855. doi: 10.3879/j.issn.1000-0887.2009.07.009
引用本文: 方敏, 黄南京. 拓扑空间中的非空交定理及其应用[J]. 应用数学和力学, 2009, 30(7): 847-855. doi: 10.3879/j.issn.1000-0887.2009.07.009
FANG Min, HUANG Nan-jing. Some Nonempty Intersection Theorems in Topological Spaces With Applications[J]. Applied Mathematics and Mechanics, 2009, 30(7): 847-855. doi: 10.3879/j.issn.1000-0887.2009.07.009
Citation: FANG Min, HUANG Nan-jing. Some Nonempty Intersection Theorems in Topological Spaces With Applications[J]. Applied Mathematics and Mechanics, 2009, 30(7): 847-855. doi: 10.3879/j.issn.1000-0887.2009.07.009

拓扑空间中的非空交定理及其应用

doi: 10.3879/j.issn.1000-0887.2009.07.009
基金项目: 国家自然科学基金资助项目(10671135);国家自然科学基金(重点)资助项目(70831005);高校博士基金资助项目(20060610005);教育部重点资助项目(109140)
详细信息
    作者简介:

    方敏(1980- ),女,重庆人,讲师(Tel:+86-28-81903018;E-mail:fangmingracie@163.com);黄南京(1962- ),男,江西石城人,教授(联系人.E-mail:nanjinghuang@hotmail.com).

  • 中图分类号: O177.91;O177.99

Some Nonempty Intersection Theorems in Topological Spaces With Applications

  • 摘要: 在拓扑空间中,建立了广义L-KKM映射新的非空交定理,同时证明了集值映射的不动点定理.作为应用,得到了上下界(拟-)平衡问题的存在定理.其结果推广了最近文献中的结论.
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出版历程
  • 收稿日期:  2008-09-12
  • 修回日期:  2009-05-14
  • 刊出日期:  2009-07-15

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