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一致凸Banach空间中渐近非扩张型映象不动点的具误差的迭代逼近 被引量:2

Iterative Approximation of Fixed Points for Asymptotically Nonexpansive Type Mappings with Error Member in Uniformly Convexity Banach Spaces
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摘要 研究在一致凸Banach空间中,用具误差的Ishikawa迭代序列逼近一致L-Lipschitz渐近非扩张型映象的不动点问题,给出了具误差的Ishikawa迭代序列逼近渐近非扩张型映像不动点的强收敛定理.改进了一些文献的相关结果. In the paper, we investigate the problem of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically nonexpansive type mappings with error in uniformly convexity Banach spaces, we obtain a strong convergence theorem of Ishikawa iterative sequence with error approximation asymptotically nonexpansive type mappings, and we improve some recent results.
作者 傅丽
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第4期17-19,23,共4页 Journal of Henan Normal University(Natural Science Edition)
基金 国家自然科学基金(60272022) 青海民族学院科研基金(06D0003)
关键词 渐近非扩张映象 迭代序列 不动点 一致凸BANACH空间 asymptotically nonexpansive type mapping iterative sequence fixed point uniformly convexity Banach spaces
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二级参考文献6

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共引文献5

同被引文献9

  • 1胡长松.Banach空间中集值局部严格伪压缩映射的Ishikawa迭代过程[J].应用泛函分析学报,2006,8(2):145-148. 被引量:2
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  • 9沈沛龙,刘启厚.广义渐近半压缩映象的不动点迭代序列[J].河南师范大学学报(自然科学版),2001,29(4):6-12. 被引量:1

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