| 集值映射与不动点 |
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| 引用本文： | 林一星. 集值映射与不动点[J]. 高等数学研究, 2016, 0(4): 2-4. DOI: 10.3969/j.issn.1008-1399.2016.04.002 |
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| 作者姓名： | 林一星 |
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| 作者单位： | 福建省龙岩市高级中学 师范,福建龙岩,364000 |
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| 摘 要： | 应用D关于β对应关系是正常的构架,引用子集法,通过取凸包与闭包,由单值映射构造集值映射,利用Kakutani不动点定理,讨论几种类型的集值映射的不动点.
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| 关 键 词： | 集值Lipschitz映射 集值映射不动点 集值随机变量 |
Set-Valued Mapping and Fixed Points |
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| Abstract: | This paper constructs set-valued mappings from single-valued mappings by correspondence relation, subset method, convex hulls and closures. Applying the Kakutani's fixed theorem, it also discusses several types of fixed points for set-valued mappings. |
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| Keywords: | set-valued mapping Lipschitz mapping fixed point of set-valued mapping random variable of set-valued mapping continuous set-valued mapping |
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