φ-强伪压缩映像带误差隐迭代过程的收敛性分析  

Convergence Analysis of an Implicit Iteration Process with Errors for φ-strictly Pseudo-contractive Mappings

作　　者：王荣[1] 刘丽梅[2] 邱桂红[2] 何震[3] 

机构地区：[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

出　　处：《河北师范大学学报（自然科学版）》2009年第1期21-24,共4页Journal of Hebei Normal University：Natural Science

基　　金：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)

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γnun和un的隐迭代过程.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-known results.

关 键 词：φ-强伪压缩映射 隐迭代过程 具有误差的隐迭代过程 公共不动点 收敛性定理 

分 类 号：O177.1[理学—数学]