拟φ-渐近非扩展映像族的公共不动点的迭代算法

高兴慧;周海云

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (4) : 486-492.

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系统科学与数学 ›› 2010, Vol. 30 ›› Issue (4) : 486-492. DOI: 10.12341/jssms08964
论文

拟φ-渐近非扩展映像族的公共不动点的迭代算法

    高兴慧(1), 周海云(2)
作者信息 +

Iteration Methods of the Common Fixed Points for a Family of Quasi φ-Asymptotically Nonexpansive Mappings

    GAO Xinghui(1), ZHOU Haiyun(2)
Author information +
文章历史 +

摘要

在自反的严格凸的光滑Banach空间中给出了一种关于拟φ-渐近非扩展映像族公共不动点
的新混杂算法，并利用广义投影算子和K-K性质等技巧证明了算法的强收敛性. 所得结果是近
期相关结果的改进与推广.

Abstract

The purpose of this article is to propose a new hybrid projection algorithm and prove a strong convergence theorem for a family of quasi φ-asymptotically nonexpansive mappings by using new analysis techniques. The results hold in reflexive, strictly convex, smooth Banach spaces. The results of this paper improve and extend some existing relative results.

关键词

拟φ-渐近非扩展映像 / 混杂算法 / 广义投影算子 / K-K性质 / 强收敛定理.

Key words

Quasi φ-asymptotically nonexpansive mapping / hybrid algorithm / generalized projection operator / K-K property / strong convergence theorem.

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高兴慧 , 周海云. 拟φ-渐近非扩展映像族的公共不动点的迭代算法. 系统科学与数学, 2010, 30(4): 486-492. https://doi.org/10.12341/jssms08964
GAO Xinghui , ZHOU Haiyun. Iteration Methods of the Common Fixed Points for a Family of Quasi φ-Asymptotically Nonexpansive Mappings. Journal of Systems Science and Mathematical Sciences, 2010, 30(4): 486-492 https://doi.org/10.12341/jssms08964
中图分类号： 47H05    47H10    47H17   
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