在线阅读 --自然科学版 2009年1期《φ-强伪压缩映像带误差隐迭代过程的收敛性分析》
φ-强伪压缩映像带误差隐迭代过程的收敛性分析--[在线阅读]
王荣1, 刘丽梅2, 邱桂红2, 何震3
1. 唐山师范学院基础教育部, 河北唐山 063000;
2. 承德民族师范高等专科学校数学系, 河北承德 067000;
3. 河北大学数学与计算机学院, 河北保定 071000
起止页码: 21--24页
DOI:
摘要
在任意Banach空间讨论了有限个φ-强伪压缩映射族隐迭代过程的收敛性问题.利用φ的性质和迭代过程本身的特性,得到了具有误差的隐迭代过程收敛于公共不动点的若干结果.研究了误差项为γnunun的隐迭代过程.

Convergence Analysis of an Implicit Iteration Process with Errors forφ-strictly Pseudo-contractive Mappings
WANG Rong1, LIU Li-mei2, QIU Gui-hong2, HE Zhen3
1. Department of Basic Education, Tangshan Teachers College, Hebei Tangshan 063000, China;
2. Department of Mathematics, Chengde National Teachers College, Hebei Chengde 067000, China;
3. College of Mathematics and Computer, Hebei University, Hebei Baoding 071000, China
Abstract:
The convergence problems of an implicit iteration process for finite family of strictly pseudo-contractive mappings are discussed in arbitrary Banach space.Using the property of and self iteration process,some results are obtained,which are the implicit iteration process with errors converge to common fixed points.The results obtained are an extension as well as improvement of well-know n results.

收稿日期: 2008-2-24
基金项目: 教育部科学技术研究重点支持项目(207014);河北省自然科学基金(A2006000941)

参考文献: