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Mann迭代和带误差的Ishikawa迭代的等价性
引用本文:苏巨国,唐玉超. Mann迭代和带误差的Ishikawa迭代的等价性[J]. 上饶师范学院学报, 2005, 25(6): 18-21
作者姓名:苏巨国  唐玉超
作者单位:1. 江西制造职业技术学院,江西,南昌,330012
2. 南昌大学,数学系,江西,南昌,330047
摘    要:建立了Mann迭代和带误差的Ishikawa迭代收敛于T的不动点的等价性,其中T是一致连续强伪压缩映射。推广了已有的一些结果。

关 键 词:Mann迭代 带误差的Ishikawa迭代 强伪压缩映射
文章编号:1004-2237(2005)06-0018-04
收稿时间:2005-09-09
修稿时间:2005-09-09

The Convergence of Mann Iteration is Equivalent to the Convergence of Ishikawa Iteration with Errors
SU Ju-guo,TANG Yu-chao. The Convergence of Mann Iteration is Equivalent to the Convergence of Ishikawa Iteration with Errors[J]. Journal of Shangrao Normal College, 2005, 25(6): 18-21
Authors:SU Ju-guo  TANG Yu-chao
Affiliation:1. Jiangxi Manufacture Vocational Technical College, Nanchang Jiangxi 330012, China 2. Department of Mathmatics, Nanchang University, Nanchang Jiangxi 330047, China
Abstract:In this paper, we establish the equivalence between the convergence of Mann iteration with errors with the convergence Ishikawa iteration with errors, where T is an uniformly continuous strongly pseudo-contractive mapping. Some ,well-known results are generalized.
Keywords:Mann iteration   Ishikawa iteration with errors   strongly pseudo-contractive mapping
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