| 具误差的渐进伪压缩映射不动点的迭代 |
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| 引用本文： | 周银英,何震. 具误差的渐进伪压缩映射不动点的迭代[J]. 河北大学学报(自然科学版), 2004, 24(1): 23-27. DOI: 10.3969/j.issn.1000-1565.2004.01.006 |
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| 作者姓名： | 周银英 何震 |
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| 作者单位： | 河北大学,数学与计算机学院,河北,保定,071002 |
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| 基金项目： | TheprojectissupportedbyDoctorsFoundationofHebeiProvince(B2 0 0 2 12 0 ) |
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| 摘 要： | 主要研究在巴拿赫空间中具误差的渐进伪压缩映射Ishikawa和Mann 迭代收敛到不动点的问题.Ishikawa迭代和Mann迭代是具误差的Ishikawa迭代和Mann迭代的特例.在以前的基础上,将渐进伪压缩映射从单值推广到多值,将Ishikawa迭代和Mann迭代从不带误差推广到带误差.论文中所得到的结果是对以前结果的一种推广.
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| 关 键 词： | 不动点 渐进伪压缩映射 渐进非扩张映射 Mann迭代Ishkawa迭代 光滑巴拿赫空间 |
Fixed-point Iteration for Asymptotically Pseudocontractive Mappings with Error Member |
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| Abstract. Fixed-point Iteration for Asymptotically Pseudocontractive Mappings with Error Member[J]. Journal of Hebei University (Natural Science Edition), 2004, 24(1): 23-27. DOI: 10.3969/j.issn.1000-1565.2004.01.006 |
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| Authors: | Abstract |
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| Abstract: | Ishikawa_type and Mann_type iterative sequences of asymtotically pseudocontractive mappings with error member were studied to converge to fixed points in Banach space.Ishikawa_type and Mann_type with errors scheme includes Ishikawa_type and Mann_type iterations as special cases.The results obtained in this paper represent an extension as well as refinement of previous known results. |
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| Keywords: | fixed points asymptotically pseudocontractive mappings asymptotically nonexpansive mappings Mann-type and Ishkawa-type iterations smooth Banach space |
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