taptap下载安装安卓学报

• 基础科学 • 上一篇    

Hilbert空间上公共不动点的强收敛定理

何松年,杨卓   

  1. (taptap下载安装安卓理学院,天津300300)
  • 收稿日期:2015-05-14 修回日期:2015-09-04 出版日期:2016-06-22 发布日期:2016-06-06
  • 作者简介:何松年(1963—),男,山西太原人,教授,博士,研究方向为非线性分析理论、算法及其应用.
  • 基金资助:

    天津市重点实验室开放课题(1040030603);taptap下载安装安卓研究生项目(Y15-25)

Strong convergence theorems for common fixed point algorithm in Hilbert spaces

HE Songnian, YANG Zhuo   

  1. (College of Science, CAUC, Tianjin 300300, China)
  • Received:2015-05-14 Revised:2015-09-04 Online:2016-06-22 Published:2016-06-06

摘要:

提出了一种非扩张映像有限族公共不动点的迭代算法,并证明了其强收敛性。作为此结果的推论,得到两种最小范数公共不动点的迭代算法。此结果是He 等人结果的推广。

关键词: Hilbert 空间, 公共不动点, 最小范数公共不动点, 强收敛

Abstract:

A kind of algorithm for common fixed point of finite nonexpansive mappings is proposed, and the strong convergence is also proved. As an application of this result, two algorithms for minimum norm common fixed point are achieved. Research result of He and his collegues is extended.

Key words: Hilbert spaces, common fixed point, minimum norm common fixed point, strong convergence

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