| 涉及渐近非扩张映象的带误差的合成显迭代新算法 |
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| 引用本文： | 黄家琳.涉及渐近非扩张映象的带误差的合成显迭代新算法[J].西南师范大学学报(自然科学版),2011,36(3). |
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| 作者姓名： | 黄家琳 |
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| 作者单位： | 宜宾学院数学系,四川宜宾,644007 |
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| 基金项目： | 四川省教育厅自然科学基金资助项目 |
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| 摘 要： | 在适当的条件下,证明了-涉及渐近非扩张映象的带误差的合成显迭代序列弱收敛或强收敛到有限族渐近非扩张映象的一公共不动点.在未增加任何附加条件的情况下,将最近的一相关结果由隐迭代算法改进为显式合成迭代算法.
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| 关 键 词： | 一致凸性 渐近非扩张映象 公共不动点 |
New Composite Explicit Iterative Scheme for Asymptotically Nonexpansive Mappings with Errors |
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| HUANG Jia-lin.New Composite Explicit Iterative Scheme for Asymptotically Nonexpansive Mappings with Errors[J].Journal of Southwest China Normal University(Natural Science),2011,36(3). |
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| Authors: | HUANG Jia-lin |
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| Institution: | HUANG Jia-lin Department of Mathematics,Yibin University,Yibin Sichuan 644007,China |
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| Abstract: | Under some suitable conditions,a new convergent theorem for a composite explicit iterative process with errors is proved.It is worth mentioning that this result extends the corresponding results from implicit iterative process to composite explicit iterative process without any additive assumptions. |
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| Keywords: | uniform convexity asymptotically nonexpansive mapping common fixed point |
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