| 一致凸Banach空间非扩张映像具误差的Ishikawa迭代 |
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| 引用本文： | 贾如鹏,王俊青.一致凸Banach空间非扩张映像具误差的Ishikawa迭代[J].数学的实践与认识,2004,34(8):158-161. |
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| 作者姓名： | 贾如鹏 王俊青 |
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| 作者单位： | 德州学院数学系,山东,德州,253023 |
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| 摘 要： | 研究一致凸 Banach空间中非扩张映像迭代序列的收敛问题 ,使用了基于 Ishikawa迭代的一种具误差的 Ishikawa迭代 ,证明了非扩张映像的具误差的 Ishikawa迭代收敛定理 .
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| 关 键 词： | 一致凸 Ishikawa迭代 具误差的Ishikawa迭代 收敛定理 |
| 修稿时间： | 2004年4月20日 |
On the Convergence Theorem of Ishikawa Iterative With Error for Nonexpansive Mappings in a Uniformly Conxve Banach Spaces |
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| JIA Ru-peng,WANG Jun-qing.On the Convergence Theorem of Ishikawa Iterative With Error for Nonexpansive Mappings in a Uniformly Conxve Banach Spaces[J].Mathematics in Practice and Theory,2004,34(8):158-161. |
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| Authors: | JIA Ru-peng WANG Jun-qing |
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| Abstract: | The purpose of this paper is to introduce the concept of approximate Picard iteration for nonexpansive mapping and to study the convergence problems. The relatively fine convergence theorems of approximate Picard iteration and Ishikawa iteration for nonexpansive mappings on closed convex in a Uniformly convea Banach spaces was proved. |
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| Keywords: | uniformly convex ishikawa iteration approixmate picard iteration convergence theorem |
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