φ-强伪压缩映象隐迭代过程的收敛性分析  

Convergence Analysis of an Implicit Iteration Process for φ-Strictly Psueudocontractive Mappings

作　　者：张文良[1] 何欣枫[2] 何震[2] 

机构地区：[1]河北金融学院基础部,河北保定071000 [2]河北大学数学与计算机学院,河北保定071002

出　　处：《数学的实践与认识》2007年第13期150-155,共6页Mathematics in Practice and Theory

基　　金：教育部科学技术研究重点项目(207014);河北省自然科学基金资助项目(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,得到了隐迭代过程收敛于公共不动点的若干结果.这些结果补充和推广了过去的研究成果.因此它丰富和发展了隐迭代法的理论.We discuss the convergence problems of an implicit iteration process for finite family of φ-strictly pseudocontractive mappings in arbitrary Banach space. Using the property of φ and self iteration process, some results are obtained, which are the implicit iteration process converges to a common fixed points. The results obtained in this paper represent an extension as well as improvement of well-known results. Hence the theory and methods of an implicit iteration are enriched and developed.

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：O177.91[理学—数学]