拓扑空间中的非空交定理及其应用

方敏; 黄南京

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

方敏¹,
黄南京²

1.
西南财经大学经济数学系,成都 610074;2.四川大学数学系,成都 610064

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
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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

Some Nonempty Intersection Theorems in Topological Spaces With Applications

FANG Min¹,
HUANG Nan-jing²

1.
Department of Economic Mathematics, South Western University of Finance and Economics, Chengdu 610074, P. R. China;

摘要

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．
- 广义L-KKM映射 /
- α-β-广义L-对角拟子空间 /
- 转移紧闭值 /
- 不动点 /
- 上下界(拟-)平衡问题
Abstract: The some new nonempty intersection theorems for generalized L-KKM mappings were established and some new fixed point theorems for set-valued mappings were proved under suitable conditions in topological spaces.As applications,an existence theorem for an equilibrium problem with lower and upper bounds and two existence theorems for a quasi-equilibrium problem with lower and upper bounds were obtained in topological spaces.The results generalize some known results in recent literature.
- generalized L-KKM mapping /
- A-B-generalized L-diagonally quasi-subspace /
- transfer compactly closed-valued /
- fixed point /
- quasi-equilibrium problem with lower and upper bounds

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参考文献(25)

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