| 弱紧集上的公共不动点与最佳逼近 |
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| 引用本文： | 陈建仁. 弱紧集上的公共不动点与最佳逼近[J]. 黑龙江大学自然科学学报, 2006, 23(2): 211-213 |
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| 作者姓名： | 陈建仁 |
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| 作者单位： | 首都师范大学,数学系,北京,100037;哈尔滨师范大学,数学系,黑龙江,哈尔滨,150025 |
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| 基金项目： | 国家自然科学资金资助项目(10571122) |
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| 摘 要： | 在局部凸拓扑线性空间中的弱紧集上得到了一个非扩张映射对的公共不动点定理和一个最佳逼近定理,改进了Hussain和Khan的相应结论.所得结果是许多已有结论的推广.
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| 关 键 词： | 局部凸拓扑线性空间 非扩张映射 公共不动点 最佳逼近 |
| 文章编号： | 1001-7011(2006)02-0211-03 |
| 修稿时间： | 2005-07-26 |
Common fixed points and best approximation on weakly compact set |
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| CHEN Jian-ren. Common fixed points and best approximation on weakly compact set[J]. Journal of Natural Science of Heilongjiang University, 2006, 23(2): 211-213 |
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| Authors: | CHEN Jian-ren |
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| Abstract: | On weakly compact sets in locally convex linear topological space,a common fixed-point theorem and a best approximation theorem of a pair of nonexpansive mappings are obtained.This extends results of Hussain and Khan and unifies many well-known conclusions of others. |
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| Keywords: | locally convex linear topological space nonexpansive mapping common fixed point the best approximation |
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