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拓扑空间中的非空交定理及其应用
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学] O177.99[理学—数学;理学—基础数学]
  • 作者机构：[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
  • 相关基金：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（20（00610005）;教育部重点资助项目（109140）
作者： 方敏[1], 黄南京[2]
关键词： 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, generalized L-KKM mapping, α-β-generalized L-diagonally quasi-subspace, transfer com-pactly closed-valued, fixed point, quasi-equilibrium problem with lower and upperbounds
中文摘要：

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．

英文摘要：

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 equilihfium 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,

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,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:8965