河北大学学报(自然科学版) ›› 2004, Vol. 24 ›› Issue (1): 23-27.DOI: 10.3969/j.issn.1000-1565.2004.01.006

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具误差的渐进伪压缩映射不动点的迭代

周银英,何震   

  1. 河北大学,数学与计算机学院,河北,保定,071002
  • 出版日期:2004-01-25 发布日期:2004-01-25
  • 基金资助:
    河北省博士科研项目

Fixed-point Iteration for Asymptotically Pseudocontractive Mappings with Error Member

  • Online:2004-01-25 Published:2004-01-25

摘要: 主要研究在巴拿赫空间中具误差的渐进伪压缩映射Ishikawa和Mann 迭代收敛到不动点的问题.Ishikawa迭代和Mann迭代是具误差的Ishikawa迭代和Mann迭代的特例.在以前的基础上,将渐进伪压缩映射从单值推广到多值,将Ishikawa迭代和Mann迭代从不带误差推广到带误差.论文中所得到的结果是对以前结果的一种推广.

关键词: 不动点, 渐进伪压缩映射, 渐进非扩张映射, Mann迭代Ishkawa迭代, 光滑巴拿赫空间

Abstract: Ishikawa-type and Mann-type iterative sequences of asymtotically pseudocontractive mappings with error mem ber were studied to converge to fixed points in Banach space.Ishikawa-type and Mann-type with errors scheme includes Ishikawa-type and Mann-type iterations as special cases. The results obtained in this paper represent an extension as well as refinement of previous known results.

Key words: fixed points, asymptotically pseudocontractive mappings, asymptotically nonexpansive mappings, Mann-type and Ishkawa-type iterations, smooth Banach space

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