| 非扩张映象的Ishikawa迭代与最佳逼近元 |
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| 引用本文： | 廖正琦.非扩张映象的Ishikawa迭代与最佳逼近元[J].重庆交通大学学报(自然科学版),2007,26(3):163-165. |
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| 作者姓名： | 廖正琦 |
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| 作者单位： | 重庆交通大学,理学院,重庆,400074 |
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| 摘 要： | 在严格凸Banach空间中研究了非扩张映象T的耦合不动点集F(T)的闭凸性,获得了当F(T)是Hilbert空间中的闭线性子空间时,Ishikawa迭代的极限元与其初始元的最佳逼近元之间的关系.
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| 关 键 词： | 非扩张映象 耦合不动点 严格凸 最佳逼近元 |
| 文章编号： | 1001-716X(2007)03-0163-03 |
| 修稿时间： | 2006年2月21日 |
Ishikawa Iteration of Coupled Fixed Points for Nonexpansive Mapping and Element of the Best Approximation |
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| LIAO Zheng-qi.Ishikawa Iteration of Coupled Fixed Points for Nonexpansive Mapping and Element of the Best Approximation[J].Journal of Chongqing Jiaotong University,2007,26(3):163-165. |
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| Authors: | LIAO Zheng-qi |
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| Abstract: | In strictly convex Banach space,there is set F(T) of coupled fixed points of T for nonexpansive mapping,and it is a closed convex set.When the F(T) becomes the closed linear subspace of the Hilbert space,the relationship of the elements of best approximation between the limit element and initial element of Ishikawa iteration is put forward. |
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| Keywords: | nonexpansive mapping coupled fixed point strictly convex element of the best approximation |
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