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Banach空间中带误差修改的不动点迭代逼近 被引量:1

Modified Iterative Approximations of Fixed Points with Errors in Banach Spaces
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摘要 对Banach空间中一致L-Lipschitz映射带误差修改的Ishikawa迭代序列和带误差的修改的Mann迭代序列强收敛的充要条件进行了研究,所得结果改进和推广了最近文献中的一些相应结果. The sufficient and necessary conditions are studied on the strong conver- gence of the modified Ishikawa iterative sequence with errors and the modified Mann iterative sequence with errors for uniformly L-Lipschitz mappings in Banach spaces. The results of this paper improve and extend some corresponding results in the recent literature.
作者 刘洁 赵秀兰
出处 《数学学报(中文版)》 CSCD 北大核心 2016年第6期767-774,共8页 Acta Mathematica Sinica:Chinese Series
基金 河南省教育厅科学技术研究项目(14B110024) 郑州市科技局项目(20141375)
关键词 一致L—Lipschitz映射 渐近非扩张映射 带误差修改的迭代序列 不动点 uniformly L-Lipschitz mapping asymptotically nonexpansive mapping modified iterative sequence with error fixed point
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