| 非自渐近非扩张型映象具误差的Reich-Takahashi粘滞迭代逼近 |
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| 引用本文： | 张树义,李丹,林媛,丛培根.非自渐近非扩张型映象具误差的Reich-Takahashi粘滞迭代逼近[J].北华大学学报(自然科学版),2017,18(3). |
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| 作者姓名： | 张树义 李丹 林媛 丛培根 |
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| 作者单位： | 渤海大学数理学院,辽宁 锦州,121013;渤海大学数理学院,辽宁 锦州,121013;渤海大学数理学院,辽宁 锦州,121013;渤海大学数理学院,辽宁 锦州,121013 |
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| 摘 要： | 在具一致Gateaux可微范数的Banach空间中研究非自渐近非扩张型映象具有误差的Reich-Takahashi粘滞迭代序列的收敛性,在没有任何有界条件下,建立了具误差的Reich-Takahashi粘滞迭代序列的强收敛于非自渐近非扩张型映象的不动点定理.
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| 关 键 词： | 非自渐近非扩张型映象 具误差的Reich-Takahashi迭代序列 粘滞迭代 不动点 |
Viseosity Approximation of Reich-Takahashi Iterative Sequences with Errors for Non-Self Asymptotically Nonexpansive Type Mappings |
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| Zhang Shuyi,Li Dan,Lin Yuan,Cong Peigen.Viseosity Approximation of Reich-Takahashi Iterative Sequences with Errors for Non-Self Asymptotically Nonexpansive Type Mappings[J].Journal of Beihua University(Natural Science),2017,18(3). |
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| Authors: | Zhang Shuyi Li Dan Lin Yuan Cong Peigen |
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| Abstract: | In a real Banach space with a uniformly Gateaux differentiable norm,we study viseosity approximation of Reich-Takahashi iterative sequences for non-self asymptotically nonexpansive type mapping, and establish strong convergence theorems of Reich-Takahashi iterative sequences with errors for non-self asymptotically nonexpansive type mapping without any bounded assumption,which extend and improve the corresponding results in some references. |
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| Keywords: | non-self asymptotically nonexpansive type mapping Reich-Takahashi iterative sequences with errors viseosity iterative fixed point |
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