| Brouwer-Schauder-Tychonoff不动点定理的进一步推广 |
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| 引用本文： | 侯吉成.Brouwer-Schauder-Tychonoff不动点定理的进一步推广[J].数学学报,2002,45(5):987-990. |
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| 作者姓名： | 侯吉成 |
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| 作者单位： | 汕头大学数学系,广东,汕头,515063;烟台大学数学与信息科学系,山东,烟台,264005 |
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| 基金项目： | 国家自然科学基金资助项目（10171043） |
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| 摘 要： | 最近,Wu和Yuan将Brouwer-Schauder-Tychonoff不动点定理推广到H-空间.本文首先建立一个逼近选择定理,然后使用这个结果建立一个新的不动点定理,很大地改进和推广了Wu和Yuan的结果.
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| 关 键 词： | 上半连续 不动点 逼近选择 H-空间 |
| 文章编号： | 0583-1431(2002)05-0987-04 |
| 修稿时间： | 2000年5月17日 |
A Further Generalization of Brouwer-Schauder-Tychonoff Fixed Point Theorem |
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| Ji Cheng HOU.A Further Generalization of Brouwer-Schauder-Tychonoff Fixed Point Theorem[J].Acta Mathematica Sinica,2002,45(5):987-990. |
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| Authors: | Ji Cheng HOU |
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| Institution: | Ji Cheng HOU(Department of Mathematics and Information Science, Yantai University, Yantai 264005, P. R. China) (Department of Mathematics, Shantou University, Shantou 515063, P. R. China) |
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| Abstract: | Recently, Wu and Yuan in 1] extended Brouwer-Schauder-Tychonoff fixed point theorem to H- Spaces. The purpose of this paper is to establish a new fixed point theorem which improves on and generalizes Wu and Yuan's result in 1], by using a new approximation selection theorem for upper semicontinuous multivalued mappings. |
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| Keywords: | Upper semicontinuous Fixed point Approximate selection H-space |
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