| 有限区间上的函数K<1集压缩映象的性质 |
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| 引用本文： | 陈浩. 有限区间上的函数K<1集压缩映象的性质[J]. 大学数学, 1997, 0(3) |
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| 作者姓名： | 陈浩 |
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| 作者单位： | 宿州师范专科学校 |
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| 摘 要： | 有界闭集上的函数Ｋ＜１集压缩映象是紧压缩映象，且是闭映象．有界闭凸集到自身的函数Ｋ＜１集压缩映象一定有不动点．
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| 关 键 词： | 紧压缩映象 有界闭凸集 闭映象 Banach空间 |
The Property of Deflation Image of K set Function ( K<1 ) in Limited Interval |
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| Chen Hao. The Property of Deflation Image of K set Function ( K<1 ) in Limited Interval[J]. College Mathematics, 1997, 0(3) |
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| Authors: | Chen Hao |
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| Abstract: | In this paper, the followed conclusion is given: The deflation image of K set function ( K<1 ) in the bounded closed set is the compact deflation image, and also the closed image. The deflation image of K set function ( K<1 ) of the mapping in itself of the bounded closed convex set, must have the invariable points. |
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| Keywords: | compact deflation image bounded closed convex set closed image banach space. |
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