| Banach空间中修正的Mann迭代与Ishikawa迭代收敛的等价性 |
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| 引用本文： | 张健,范振耀,翟全礼. Banach空间中修正的Mann迭代与Ishikawa迭代收敛的等价性[J]. 数学的实践与认识, 2012, 42(10): 251-256 |
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| 作者姓名： | 张健 范振耀 翟全礼 |
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| 作者单位： | 唐山学院基础部,河北唐山,063000 |
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| 摘 要： | 在实Banach空间框架下,证明了新修正的Mann迭代与修正的Ishikawa迭代关于一致Lipschitz映射不动点收敛的等价性.
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| 关 键 词： | 渐进伪压缩映射 一致L-Lipschitz映射 等价性 |
The Equivalence of the Convergence Between Modified Mann and Ishikawa Iterations in Banach Spaces |
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| ZHANG Jian , FAN Zhen-yao , ZHAI Quan-li. The Equivalence of the Convergence Between Modified Mann and Ishikawa Iterations in Banach Spaces[J]. Mathematics in Practice and Theory, 2012, 42(10): 251-256 |
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| Authors: | ZHANG Jian FAN Zhen-yao ZHAI Quan-li |
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| Affiliation: | (Department of Basic Science,Tangshan Colllege,Tangshan 063000,China) |
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| Abstract: | It is shown that the convergence between modified Mann iteration and Ishikawa iteration is equivalent for uniformly Lipschitz mappings in real Banach spaces. |
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| Keywords: | Asymptotically pseudocontractive mapping uniformly L-lipschitz mapping equivalence |
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