Some Nonempty Intersection Theorems in Topological Spaces With Applications
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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.
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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
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. -
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