无限族严格渐近伪压缩映象隐迭代程序的强收敛定理

张石生;黄家琳;王雄瑞

系统科学与数学 ›› 2009, Vol. 29 ›› Issue (12) : 1613-1621.

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系统科学与数学 ›› 2009, Vol. 29 ›› Issue (12) : 1613-1621. DOI: 10.12341/jssms08490
论文

无限族严格渐近伪压缩映象隐迭代程序的强收敛定理

    张石生, 黄家琳, 王雄瑞
作者信息 +

Strong Convergence Theorems of Implicit Iteration Process for an Infinite Family of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces

    ZHANG Shisheng, HUANG Jialin, WANG Xiongrui
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文章历史 +

摘要

在Banach空间框架下,对无限族的严格渐近伪压缩映象和无限族的非扩张映象引入了一类新的隐迭代程序,并在适当的条件下,证明了该迭代程序强收敛于这两族映象的公共不动点.结果是新的,
它推广和改进了一些人的最新结果.

Abstract

In this paper a new implicit iteration process for an infinite family of strictly asymptotically pseudocontractive mappings and nonexpansive mappings are introduced. By using the iterative process some strong convergence theorems to approximating a common fixed point of strictly asymptotically pseudocontractive mappings and nonexpansive mappings are proved. The results presented in the
paper are new which extend and improve some recent results.

关键词

无限族严格渐近伪压缩映象 / Browder-Petryshyn型的严格伪压缩映象 / 隐式迭代序列 / 公共不动点.

Key words

Strictly asymptotically pseudocontractive mapping / strictly pseudocontractive mapping of Browder-Petryshyn type / implicit iteration process with errors / common fixed point.

引用本文

导出引用
张石生 , 黄家琳 , 王雄瑞. 无限族严格渐近伪压缩映象隐迭代程序的强收敛定理. 系统科学与数学, 2009, 29(12): 1613-1621. https://doi.org/10.12341/jssms08490
ZHANG Shisheng , HUANG Jialin , WANG Xiongrui. Strong Convergence Theorems of Implicit Iteration Process for an Infinite Family of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces. Journal of Systems Science and Mathematical Sciences, 2009, 29(12): 1613-1621 https://doi.org/10.12341/jssms08490
中图分类号: 47H02    47H20    60H25   
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