| 集值映射的连续不动点定理及其在微分包含中的应用 |
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| 引用本文： | 吴健荣,吴从炘. 集值映射的连续不动点定理及其在微分包含中的应用[J]. 应用泛函分析学报, 2000, 2(2): 159-165 |
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| 作者姓名： | 吴健荣 吴从炘 |
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| 作者单位： | 1. 苏州城建环保学院基础部,江苏苏州 215011
2. 哈尔滨工业大学数学系,黑龙江哈尔滨 150001 |
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| 基金项目： | 国家自然科学基金和博士点基金资助项目 |
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| 摘 要： | 本首先证明了一类集值映射的下半连续性。在此基础上给出了Banach空间集值映射的一个连续不动点定理，作为应用，证明了一类微分包含解的存在性。这种方法是全新的。
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| 关 键 词： | 集值映射 微分包含 连续不动点定理 BANACH空间 不半连续性 解 存在性 |
| 文章编号： | 1009-1327(2000)02-0159-07 |
| 修稿时间： | 2000-03-10 |
The Continuous Fixed Poin Theorem for a Set Valued Function and Its Application to a Differential Inclusion |
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| WU Jian- rong,WU Cong- xin. The Continuous Fixed Poin Theorem for a Set Valued Function and Its Application to a Differential Inclusion[J]. Acta Analysis Functionalis Applicata, 2000, 2(2): 159-165 |
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| Authors: | WU Jian- rong WU Cong- xin |
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| Affiliation: | WU Jian- rong1,WU Cong- xin2 1 .Departmentof Basic Science,Suzhou Institute of Urban Construction and Environmental Protection,Suzhou Jiangsu2 1 50 1 1,China 2 .Deaprtmentof Mathematics,H arbin Institute of Technology,H arbin H eilongjiang1 50 0 0 1,China |
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| Abstract: | In this paper,weshow the low semi-continuity fora kind of setvalued functions. Sequentially, we give a continuous fixed point theorem for a setvalued function on the Banach space.As its application, we prove an existence theorem fora parameterized differential inclusion,meanwhile,pointoutthe continuity of the solutions with respectto the parameter. This method is new completely. |
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| Keywords: | set valued function fixed point differential inclusion |
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