Banach空间中带误差的渐进准非扩张映射迭代序列的不动点问题

  • 佟慧 ,
  • 王小英
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  • 1.河北大学,数学与计算机学院,河北,保定,071002; 2.承德旅游职业学院,经济系,河北,承德,067000

网络出版日期: 2005-07-25

Fixed-point Iterations Sequence for Asymphotically Quasi-nonexpansive Mapping with an Error Member in Banach Spaces

  • TONG Hui ,
  • WANG Xiao-ying
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Online published: 2005-07-25

摘要

引入了新的迭代方法,即带误差的三步迭代方案,给出了带误差的渐进准非扩张三步迭代序列收敛到不动点的充要条件,使以前的结果得到推广和提高.

本文引用格式

佟慧 , 王小英 . Banach空间中带误差的渐进准非扩张映射迭代序列的不动点问题[J]. 河北大学学报(自然科学版), 2005 , 25(4) : 355 -357,364 . DOI: 10.3969/j.issn.1000-1565.2005.04.004

参考文献

[1] Xu BL., Noor MA.. Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces [J]. Journal of Mathematical Analysis and Applications 2002, 2(2).
[2] L QIHOU. Iterative seuences for asymptotically quasi-nonexpansive mapping with error member [J]. Journal of Mathematical Analysis and Applications 2001, 259.
[3] L QIHOU. Note iterative sequences for asymptotically quasi-nonexpansive mapping with error member of uniform convex Banach Spaces [J]. Journal of Mathematical Analysis and Applications 2002, 266.
[4] Ghosh MK., Debnath L.. CONVERGENCE OF ISHIKAWA ITERATES OF QUASI-NONEXPANSIVE MAPPINGS [J]. Journal of Mathematical Analysis and Applications 1997, 1(1).
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