Hilbert空间中求解带约束的分裂公共不动点问题的三种迭代算法

数学物理学报 ›› 2015, Vol. 35 ›› Issue (6): 1115-1126.

Hilbert空间中求解带约束的分裂公共不动点问题的三种迭代算法

刘元星¹, 周海云^2,3, 王培元^2,4,5, 周宇^2,6

1 河北经贸大学数统学院石家庄 050061;
2 军械工程学院基础部石家庄 050003;
3 河北师范大学数信学院石家庄 050024;
4 海军装备研究院博士后科研工作站北京 102249;
5 海军航空兵学院辽宁葫芦岛 125001;
6 石家庄陆军指挥学院军事运筹研究中心石家庄 050000

收稿日期:2015-03-19 修回日期:2015-08-23 出版日期:2015-12-25 发布日期:2015-12-25
作者简介:刘元星,liuyx369@aliyun.com;周海云,zhouhy123@aliyun.com
基金资助:
国家自然科学基金(11071053)、河北省自然科学基金(A201420710)、河北经贸大学科研重点项目(2015KYZ03)和河北经贸大学教学研究重大项目(2015JYZ05)资助

Three Kinds of Iterative Algorithms for Solving the Constrained Split Common Fixed Point Problem in Hilbert Spaces

Liu Yuanxing¹, Zhou Haiyun^2,3, Wang Peiyuan^2,4,5, Zhou Yu^2,6

1 School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061;
2 Department of Basic Courses, Ordnance Engineering College, Shijiazhuang 050003;
3 College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024;
4 Postdoctoral Workstation, Naval Equipment Institute, Beijing 102249;
5 Naval Aviation Institution, Liaoning Huludao 125001;
6 Military Strategy Research Center, Shijiazhuang Army Command College, Shijiazhuang 050000

Received:2015-03-19 Revised:2015-08-23 Online:2015-12-25 Published:2015-12-25

摘要/Abstract

摘要：

该文的目的是研究带约束的分裂公共不动点问题.建立和分析了求解带约束的分裂公共不动点问题的三种新的迭代算法.建立了三种迭代算法的强收敛性结果,这些结果改进并推广了某些作者的相关结论.

关键词: 带约束的公共不动点问题, 非扩张映像, 迭代算法, 强收敛

Abstract:

The purpose of this paper is to study the constrained split common fixed point problem. We suggest and analyze three kinds of iterative algorithms for solving the problem. Several strong convergence theorems have been established, which improve and extend the related results obtained by some authors.

Key words: Constrained split common fixed point problem, Nonexpansive mapping, Iterative algorithm, Strong convergence

中图分类号:

O177.91

刘元星, 周海云, 王培元, 周宇. Hilbert空间中求解带约束的分裂公共不动点问题的三种迭代算法[J]. 数学物理学报, 2015, 35(6): 1115-1126.

Liu Yuanxing, Zhou Haiyun, Wang Peiyuan, Zhou Yu. Three Kinds of Iterative Algorithms for Solving the Constrained Split Common Fixed Point Problem in Hilbert Spaces[J]. Acta mathematica scientia,Series A, 2015, 35(6): 1115-1126.

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