具误差的渐进伪压缩映射不动点的迭代

  • 周银英 ,
  • 何震
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  • 河北大学,数学与计算机学院,河北,保定,071002

网络出版日期: 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

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Online 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.

本文引用格式

周银英 , 何震 . 具误差的渐进伪压缩映射不动点的迭代[J]. 河北大学学报(自然科学版), 2004 , 24(1) : 23 -27 . DOI: 10.3969/j.issn.1000-1565.2004.01.006

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.

参考文献

[1] 张石生. Banach空间中渐近非扩张映象不动点的迭代逼近问题 [J]. 应用数学学报 2001.doi:10.3321/j.issn:0254-3079.2001.02.010
[2] Zhang Shisheng. Convergence problem for φ-pseudo-contractive mappings of Ishikawa-type and Mann-type iteration with an error member [J]. Applied Mathematics and Mechanics 2001, 21(01).
[3] SAHU D R. Strong convergence theorems for nonexpansive type and non-self multi-valued mappings [J]. Nonlinear Analysis-Theory Methods and Applications 1999, 37.
[4] JONG SOO JUNG, YEOL JE CHO, ZHOU HAIYUN. Iterative methods with mixed errors for perturbed m-accretive operator equations in arbitrary Banach spaces [J]. Mathematical and Computer Modelling 2002, 35.
[5] Xu Yuguang. Ishikawa and mann iterative processes with errors for non linear strongly accretive operator equation [J]. Mathematics Analysis and Applications 1998, 224.
[6] Chidume CE., Osilike MO.. Nonlinear accretive and pseudo-contractive operator equations in Banach spaces [J]. Nonlinear Analysis: An International Multidisciplinary Journal 1998, 7(7).
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