| 局部Lipschitz全连续弱内向映象的新不动点定理 |
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| 引用本文： | 许绍元.局部Lipschitz全连续弱内向映象的新不动点定理[J].河南师范大学学报(自然科学版),2008,36(2):26-29. |
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| 作者姓名： | 许绍元 |
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| 作者单位： | 赣南师范学院,数学与计算机学院,江西,赣州,341000 |
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| 摘 要： | 利用有界凸闭集上局部Lipschitz全连续弱内向映象的不动点指数一个基本结论,得到了有界凸闭集上局部Lipschitz全连续弱内向映象的新不动点定理.特别地,得到了有界凸闭集上局部Lipschitz全连续弱内向映象的Altman定理,Roth定理和Petryshyn定理及其各种推广形式.
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| 关 键 词： | 全连续弱内向映象 Banach空间微分方程 不动点指数 不动点 |
| 文章编号： | 1000-2367(2008)02-0026-04 |
| 修稿时间： | 2007年2月27日 |
New Fixed Point Theorems of Locally Lipschitz Completely Continuous and Weakly Inward Maps |
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| XU Shao-yuan.New Fixed Point Theorems of Locally Lipschitz Completely Continuous and Weakly Inward Maps[J].Journal of Henan Normal University(Natural Science),2008,36(2):26-29. |
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| Authors: | XU Shao-yuan |
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| Abstract: | In this paper,based on a basic result on locally Lipschitz completely continuous and weakly inward maps,some new fixed point theorems of locally Lipschitz completely continuous and weakly inward maps defined on a closed bounded convex set are obtained.As a result,the famous Altman's theorem,Roth's theorem and Petryshyn's theorem for such class of mappings are obtained and generalized. |
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| Keywords: | completely continuous and weakly inward map differential equations in Banach spaces fixed point index fined point |
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