| 渐近伪压缩型映象迭代序列的强收敛定理 |
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| 引用本文： | 张树义,万美玲,李丹.渐近伪压缩型映象迭代序列的强收敛定理[J].江南大学学报(自然科学版),2014,13(6):726-730. |
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| 作者姓名： | 张树义 万美玲 李丹 |
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| 作者单位： | 渤海大学数理学院 辽宁锦州121013 |
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| 摘 要： | 在没有任何有界条件下建立了渐近伪压缩型映象带混合型误差修改的Ishikawa和Mann迭代序列收敛到不动点的充要条件,所得结果本质推广和改进了有关文献中的相关结果.
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| 关 键 词： | 实Banach空间 广义一致Lipschitz 渐近伪压缩型映象 混合误差 修改的Ishikawa迭代序列 修改的Mann迭代序列 |
Strong Convergence Thorems of Iterative Sequences for Asymptotically Pseudocontractive Type Mappings |
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| ZHANG Shuyi,WAN Meiling,LI Dan.Strong Convergence Thorems of Iterative Sequences for Asymptotically Pseudocontractive Type Mappings[J].Journal of Southern Yangtze University:Natural Science Edition,2014,13(6):726-730. |
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| Authors: | ZHANG Shuyi WAN Meiling LI Dan |
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| Institution: | ZHANG Shuyi;WAN Meiling;LI Dan;College of Mathematics and Physics,Bohai University; |
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| Abstract: | A sufficient and necessary condition for the modified Ishikawa iterative sequences with mixed errors approximations problem of fixed point for generalized uniformly Lipschitz asymptotically pseudocontractive type mappings in Banach space is established,which extends and improves the corresponding results in some references. |
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| Keywords: | real Banach space generalized uniformly Lipschitz asymptotically pseudocontractive type mapping mixed errors modified Ishikawa iterative sequence modified Mann iterative sequence |
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