Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces

被引：0
|
作者：
Tang, Yuchao [1 ]
Liu, Liwei [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年
基金：
中国博士后科学基金;
关键词：
split feasibility problem; strong convergence; the best approximation; FIXED-POINT PROBLEMS; PROJECTION METHOD; CQ-ALGORITHM; VARIATIONAL-INEQUALITIES; NONEXPANSIVE-MAPPINGS; COMMON SOLUTION; SETS; KRASNOSELSKII; OPERATORS;
D O I：
10.1186/s13660-016-1228-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose several new iterative algorithms to solve the split feasibility problem in the Hilbert spaces. By virtue of new analytical techniques, we prove that the iterative sequence generated by these iterative procedures converges to the solution of the split feasibility problem which is the best close to a given point. In particular, the minimum-norm solution can be found via our iteration method.
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收藏
页数：14
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