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,
出处
《应用数学和力学》
CSCD
北大核心
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)
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
