| φ-强伪压缩映象隐迭代过程的收敛性分析 |
| |
| 引用本文： | 张文良,何欣枫,何震. φ-强伪压缩映象隐迭代过程的收敛性分析[J]. 数学的实践与认识, 2007, 37(13): 150-155 |
| |
| 作者姓名： | 张文良 何欣枫 何震 |
| |
| 作者单位： | 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 |
| |
| 基金项目： | 教育部科学技术研究重点项目;河北省自然科学基金 |
| |
| 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.
|
| 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 |
| 修稿时间： | 2006-03-15 |
Convergence Analysis of an Implicit Iteration Process for ψ- Strictly Psueudocontractive Mappings |
| |
| ZHANG Wen-liang,HE Xin-feng,HE Zhen. Convergence Analysis of an Implicit Iteration Process for ψ- Strictly Psueudocontractive Mappings[J]. Mathematics in Practice and Theory, 2007, 37(13): 150-155 |
| |
| Authors: | ZHANG Wen-liang HE Xin-feng HE Zhen |
| |
| Abstract: | 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. |
| |
| Keywords: | φ-strictly pseudocontractive Mappings implicit iteration process implicit iteration process with errors common fixed points convergence theorems |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
