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渐近非扩张映象不动点具误差的迭代逼近

Iterative Approximation of Fixed Points for Asymptotically Non-expansive Mappings with Errors
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摘要 利用一致凸Banach空间的特有性质,研究了半紧的和满足条件(A)的渐近非扩张压缩映象的具误差的Ishikawa迭代序列的强收敛问题,在更一般的条件下建立了若干强收敛定理,改进和推广了的一些文献的相关结果. The strong approximation problems of the modified Ishikawa iterative sequence with errors for semi - compacting asymptotically non- expensive mapping is studied in uniformly convex Banach space. Some strong convergence theroems are established in general conditions. The results presented in this paper extend and improve corresponded results.
作者 王焕许
出处 《怀化学院学报》 2010年第2期6-10,共5页 Journal of Huaihua University
基金 黑龙江省绥化学院2009年科学技术研究项目(编号:K092006)
关键词 一致凸BANACH空间 渐近非扩张映象 具误差的Ishikawa 半紧MSC(2000) uniformly convex Banach space asymptotically nonexpansive mappings semi - compac Ishiwaw iterative sequence with errors
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