拓扑空间中的非空交定理及其应用  

Some Nonempty Intersection Theorems in Topological Spaces With Applications

作　　者：方敏[1] 黄南京[2] 

机构地区：[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

出　　处：《应用数学和力学》2009年第7期847-855,共9页Applied Mathematics and Mechanics

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(20060610005);教育部重点资助项目(109140)

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.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,

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 

分 类 号：O177.91[理学—数学] O177.99[理学—基础数学]