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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2018, Vol. 35 ›› Issue (4): 479-488.doi: 10.3969/j.issn.1005-3085.2018.04.010

• • 上一篇    

关于两个拟非扩张映像的混杂投影算法及其数值实验（英）

高兴慧,   马乐荣   

  1. 延安大学数学与计算机科学学院，延安  716000
  • 收稿日期:2016-09-03 接受日期:2018-05-03 出版日期:2018-08-15 发布日期:2018-10-15
  • 基金资助:
    国家自然科学基金(61751217)；陕西省自然科学基础研究计划(2016JM6082)；延安大学科研项目(YD2016-12).

A New Hybrid Projection Method and Its Numerical Realization for Two Quasi-nonexpansive Mappings

GAO Xing-hui,   MA Le-rong   

  1. College of Mathematics and Computer Science, Yan'an University, Yan'an 716000
  • Received:2016-09-03 Accepted:2018-05-03 Online:2018-08-15 Published:2018-10-15
  • Supported by:
    The National Natural Science Foundation of China (61751217); the Natural Science Basic Research Plan in Shaanxi Province (2016JM6082); the Scientific Research Project of Yan'an University (YD2016-12).

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摘要： 在Hilbert空间中，构造了一种新的混杂投影算法用于逼近两个拟非扩张映像的公共不动点，并利用拟非扩张映像的定义和投影算子等技巧证明了其公共不动点的强收敛定理．最后，给出具体的数值实验描述了所提出算法的有效性．

关键词: 拟非扩张映像, 混杂算法, 强收敛性, Hilbert空间

Abstract: In Hilbert spaces, a new hybrid projection method is proposed to approximate common fixed points of two quasi-nonexpansive mappings. A strong convergence theorem of the common fixed points is proved by using the quasi-nonexpansive mapping, the projection operator and other analysis techniques. Some numerical experiments are also included to explain the effectiveness of the proposed methods.

Key words: quasi-nonexpansive mappings, hybrid algorithms, strong convergence, Hilbert spaces

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