| 2个有限渐近非扩张半群族的迭代序列的强收敛定理 |
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| 引用本文： | 徐丹宁,邓缨函.2个有限渐近非扩张半群族的迭代序列的强收敛定理[J].西南农业大学学报,2011,33(8). |
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| 作者姓名： | 徐丹宁 邓缨函 |
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| 作者单位： | 西南大学数学与统计学院;西南财经大学金融学院; |
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| 基金项目： | 国家自然科学基金资助项目(10771173) |
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| 摘 要： | 对希尔伯特空间中的2个有限渐近非扩张半群族引入了迭代序列,证明了这个迭代序列强收敛于这2个有限渐近非扩张半群族上的公共不动点.
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| 关 键 词： | 迭代序列 有限渐近非扩张半群族 公共不动点 |
Strong Convergence Theorems on an Iteration Sequence for Two Finite Family of Asymptotically Nonexpansive Semigroups |
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| XU Dan-ning,DENG Ying-han .School of Mathematics , Statistics,Southwest University,Chongqing ,China.Strong Convergence Theorems on an Iteration Sequence for Two Finite Family of Asymptotically Nonexpansive Semigroups[J].Journal of Southwest Agricultural University,2011,33(8). |
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| Authors: | XU Dan-ning DENG Ying-han School of Mathematics Statistics Southwest University Chongqing China |
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| Institution: | XU Dan-ning1,DENG Ying-han2 1.School of Mathematics and Statistics,Southwest University,Chongqing 400715,China,2.Department of Finance,Southwestern University of Finance and Economics,Chengdu 611130 |
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| Abstract: | The aim of this paper is to introduce an iteration sequence for two finite families of asymptotically nonexpansive semigroups in a Hilbert space.Moreover,it proves that the iteration sequence converges strongly to the common fixed point of the two finite families of asymptotically nonexpansive semigroups.The results extend some corresponding results. |
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| Keywords: | iteration sequence finite family of asymptotically nonexpansive semigroup common fixed point |
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