| 集值映象的最近点定理及应用 |
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| 引用本文： | 张石生,陈汝栋.集值映象的最近点定理及应用[J].曲阜师范大学学报,1993,19(3):1-5. |
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| 作者姓名： | 张石生 陈汝栋 |
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| 作者单位： | [1]四川大学教学系 [2]安阳师专 |
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| 摘 要： | 在赋范线性空间中,运用KKM技巧,讨论了一类不具有紧值的集值映象的最近点问题。作为应用,给出了类似于内向集、外向集定理的二个不动点定理。
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| 关 键 词： | 集值映射 最近点定理 赋范空间 不动点 |
THE NEAREST POINT THEOREM OF SET VALUE MAPPING AND ITS APPLICATIONS |
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| Abstract: | In normed linear spaces, a kind of the nearest point questions of set value mapping with compact values are discussed by using KKM technique. As its applications, the two fixed point theorems that are analogy inward set theorem and outward set theorem are put forward. |
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| Keywords: | nearest point KKM technique set value mapping |
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