| 关于广义渐近拟非扩张型映像公共不动点的问题 |
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| 引用本文： | 杨奎,叶晓磊.关于广义渐近拟非扩张型映像公共不动点的问题[J].渝西学院学报(自然科学版),2010(1):12-14. |
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| 作者姓名： | 杨奎 叶晓磊 |
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| 作者单位： | 重庆师范大学数学与计算机科学学院; |
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| 基金项目： | 重庆市教委科技项目(KJ070806) |
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| 摘 要： | 在Banach空间的框架下，讨论了一类比渐近拟非扩张型映像更加广泛的渐近拟非扩张型映像，并给出了具有混合误差的更广义N步迭代序列强收敛广泛的渐近拟非扩张型映像的一个不动点的充要条件，推广以前的结果．
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| 关 键 词： | Banach空间 渐近拟非扩张映像 迭代序列 不动点 |
On the problem of common fixed points of generalize asymptotically quasi-nonexpansive type mappings |
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| Authors: | YANG Kui YE Xiao-lei |
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| Institution: | YANG Kui,YE Xiao-lei(Colleges of Mathematics & Computer Science,Chongqing Normal University,Shapingba Chongqing 400047,China) |
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| Abstract: | This paper studies generalized asymptotic quasi nonexpansive type mapping - a class of mapping, which is more general then asymptotic quasi - nonexpansive, and gives some necessary and sufficient conditions for N - step iterative sequence with mixed errors to converge strongly to a fixed point of generalized asymptotic quasi nonexpansive type mapping in a Banach space. The results presented in the paper extend some recent results. |
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| Keywords: | Banach space asymptotic quasi - nonexpansive type mapping iterative sequence fixed points |
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