| Banach空间中关于有界集的同时远达问题的适定性 |
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| 引用本文： | 倪仁兴,李冲.Banach空间中关于有界集的同时远达问题的适定性[J].数学学报,1999,42(5):823-826. |
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| 作者姓名： | 倪仁兴 李冲 |
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| 作者单位： | 1. 绍兴文理学院数学系,绍兴,312000
2. 东南大学应用数学系,南京,210096 |
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| 基金项目： | 国家自然科学基金!19471021，浙江省自然科学基金!196010 |
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| 摘 要： | 本文研究Banach空间中关于有界集的同时远达问题的适定性，在集合的Hausdorff距离下，证明了：对自反局部一致凸Banach空间中的闭有界集K，使所有关于K的同时远达问题是适定的紧凸子集A全体在紧凸子集全体中是Gδ型集．
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| 关 键 词： | 同时远达问题 局部一致凸 适定性 |
| 修稿时间： | :1998-04-2 |
On Well Posedness Problems for Simultaneous Farthest Points in Banach Spaces |
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| Ni Renxing,Li Chong.On Well Posedness Problems for Simultaneous Farthest Points in Banach Spaces[J].Acta Mathematica Sinica,1999,42(5):823-826. |
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| Authors: | Ni Renxing Li Chong |
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| Institution: | Ni Renxing (Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing 312000, P. R. China)Li Chong (Department of Applied Mathematics, Southeast Universitg, Nanjing 210096, P. R. China) |
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| Abstract: | The well posedness problems for simultaneous farthest points with respect to bounded subsets in Banach spaces are investigated. Under the Hausdorff metric of subsets, we proved that for a bounded closed subset K, The set of all convex compact sets A such that the simultaneous farthest points problem with respect to K is well posed is a dense Ge subset of the set of all convex compact subset. |
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| Keywords: | Simultaneous farthest point problem Locally uniformly convex Well posedness |
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