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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
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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.
作者 张文良 何欣枫 何震
机构地区 河北金融学院基础部 河北大学数学与计算机学院
出处 《数学的实践与认识》 CSCD 北大核心 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)
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 φ-strictty pseudocontractive Mappings implicit iteration process implicititeration process with errors common fixed points convergence theorems
分类号 O177.91 [理学—基础数学]
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参考文献12

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数学的实践与认识
2007年 第13期

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