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Nonempty intersection theorems in topological spaces with applications
  • ISSN号：0253-4827
  • 期刊名称：《应用数学和力学：英文版》
  • 时间：0
  • 分类：O189.11[理学—数学;理学—基础数学] O177.3[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Economic Mathematics, South Western University of Finance and Economics, Chengdu 610074, P. R. China, [2]Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Nos. 10671135 and 70831005）, the Specialized Research Fund for the Doctoral Program of Higher Education （No. 20060610005）, and the Key Project of Chinese Ministry of Education （No. 109140）
作者： 方敏[1], 黄南京[2]
关键词： 拓扑空间, 相交定理, 应用, 存在性定理, KKM映射, 不动点定理, 集值映射, 均衡问题, generalized L-KKM/napping, L-diagonally quasi-subspace, transfer compactly closed-valued, fixed point, quasi-equilibrium problem
中文摘要：

In this paper, we establish some new nonempty intersection theorems for generalized L-KKM mappings and prove some new fixed point theorems for set-valued mappings 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 are obtained in topological spaces. Our results generalize some known results in the literature.

英文摘要：

In this paper, we establish some new nonempty intersection theorems for generalized L-KKM mappings and prove some new fixed point theorems for set-valued mappings 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 are obtained in topological spaces. Our results generalize some known results in the literature.

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期刊信息
  • 《应用数学和力学：英文版》
  • 主管单位:交通部
  • 主办单位:上海大学
  • 主编：周哲玮
  • 地址：上海市宝山区上大路99号上海大学122信箱
  • 邮编：200444
  • 邮箱：amm@department.shu.edu.cn
  • 电话：021-66135219 66165601
  • 国际标准刊号：ISSN：0253-4827
  • 国内统一刊号：ISSN：31-1650/O1
  • 邮发代号:
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  • 上海市优秀科技期刊一等奖,中国期刊方阵“双效”期刊
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  • 被引量:541