| 具误差的Ishikawa和Mann迭代过程的定义 |
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| 引用本文： | 徐裕光,周兴伟,温一新.具误差的Ishikawa和Mann迭代过程的定义[J].昆明师范高等专科学校学报,2008,30(4):1-2,7. |
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| 作者姓名： | 徐裕光 周兴伟 温一新 |
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| 作者单位： | 昆明学院数学系 |
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| 摘 要： | 引入若干新的带有随机误差的Ishikawa和Mann迭代过程的定义，用以修正Liu在1995发表在J．Math．Anal．Appl．第194卷第114～125页上的关于带有误差的Ishikawa和Mann迭代过程的定义。应用这些新的定义，只要作些修改，许多基于Liu的定义的研究结果仍然是有效的．
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| 关 键 词： | Ishikawa迭代序列 Mann迭代序列 随机性 误差项 |
On the Definitions of Ishikawa and Mann Iterative Processes with Errors |
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| XU Yu-guang,ZHOU Xing-wei,WEN Yi-xin.On the Definitions of Ishikawa and Mann Iterative Processes with Errors[J].Journal of Kunming Teachers College,2008,30(4):1-2,7. |
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| Authors: | XU Yu-guang ZHOU Xing-wei WEN Yi-xin |
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| Institution: | ( Department of Mathematics, Kunming University, Yunnan Kunming 650031, China) |
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| Abstract: | The purpose of this note is to introduces some new definitions of Ishikawa and Mann iterative processes with random errors as a correction to those introduced in 1995 by L. S. Liu, J. Math. Anal. Appl. Vol. 194P114 - 125. In his definitions Liu imposed the requirement that the error terms { un } and { vn } are two summable sequences, it is against the randomness of errors. By virtue of the new definitions, a lot of results on the basis of the definitions of Liu will be still valid if a little revision for the results are approved. |
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| Keywords: | Ishikawa iteration sequence Mann iteration sequence randomness error term |
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