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λ-超凸度量空间中可交换非扩张映射的不动点定理(英文) 被引量:2

The Fixed Points of Commuting Nonexpansive Maps in Lambda-Hyperconvex Spaces
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摘要 给出λ 超凸度量空间中有限个可交换非扩张映射的公共不动点集及一定条件下任意个可交换非扩张映射的公共不动点集的λ 超凸性(λ<2),并获得一些更一般的不动点定理及一个重要反例。所得结果推广了一些已知的结果。 Showing the λ hyperconvexity of the common fixed points sets of any commuting family of finite nonexpansive maps on λhyperconvex space(λ<2),and of any commuting family of nonexpansive maps on λhyperconvex space(λ<2) under some compactness.Also some more general fixed point theorems and one counterexample are been given.
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第4期632-636,共5页 Journal of Sichuan University(Natural Science Edition)
基金 NationalNatureScienceFoundationofChina,FoundationofYunnanSci.Tech.andFoundationofYunnanE ducationCommittee
关键词 超凸度量空间 λ-超凸度量空间 非扩张映射 不动点 hyperconvex space Lambda-hyperconvex space nonexpansive map fixed point
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参考文献14

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