| 一致伪压缩映射的具误差的Ishikawa和Mann迭代序列收敛性的等价性问题 |
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| 引用本文： | 野金花,崔云安. 一致伪压缩映射的具误差的Ishikawa和Mann迭代序列收敛性的等价性问题[J]. 黑龙江大学自然科学学报, 2006, 23(2): 242-244 |
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| 作者姓名： | 野金花 崔云安 |
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| 作者单位： | 哈尔滨理工大学,应用科学学院,黑龙江,哈尔滨,150080;黑龙江八一农垦大学,文理学院,黑龙江,大庆,163319;哈尔滨理工大学,应用科学学院,黑龙江,哈尔滨,150080 |
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| 摘 要： | 利用正规对偶映射的性质,证明了在一致伪压缩映射条件下具误差的Ishikawa迭代序列和Mann迭代序列的等价性问题,得到了具误差的Ishikawa迭代序列和Mann迭代序列均收敛于一致伪压缩映射的不动点.将文献[3]中的结论推广至具误差的迭代序列情形.
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| 关 键 词： | 一致伪压缩 具误差的Ishikawa迭代序列和Mann迭代序列 不动点 |
| 文章编号： | 1001-7011(2006)02-0242-03 |
| 修稿时间： | 2005-05-16 |
The equivalence on the convergence problems of Ishikawa and Mann iterative processes with error for uniformly pseudo-contraction |
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| YE Jin-hua,CUI Yun-an. The equivalence on the convergence problems of Ishikawa and Mann iterative processes with error for uniformly pseudo-contraction[J]. Journal of Natural Science of Heilongjiang University, 2006, 23(2): 242-244 |
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| Authors: | YE Jin-hua CUI Yun-an |
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| Abstract: | It is shown that Ishikawa and Mann iterative processes with error are equivalent for uniformly pseudo-contractive mappings by the means of normal dual mapping.And the conclusion is drawn that Ishikawa and Mann iterative processes with error convergence to the fixed point under uniformly pseudo-contractive mappings.Further,this obtained result extends and generalizes the results of Krishna Kumar in [3] to the iterative processes with error. |
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| Keywords: | uniformly pseudo-contraction Ishikawa and Mann iterative processes with error fixed point |
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