Strong convergence results for the split common fixed point problem

被引：3
|
作者：
He, Huimin [1 ]
Liu, Sanyang [1 ]
Chen, Rudong [2 ]
Wang, Xiaoyin [2 ]
机构：
[1] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China
[2] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 09期
基金：
美国国家科学基金会;
关键词：
Split common fixed point problem; demicontractive mapping; explicit viscosity algorithm; strong convergence; CQ-ALGORITHM; FEASIBILITY PROBLEM; SETS; PROJECTION;
D O I：
10.22436/jnsa.009.09.02
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, Boikanyo [O. A. Boikanyo, Appl. Math. Comput., 265 (2015), 844-853] constructed an algorithm for demicontractive operators and obtained the strong convergence theorem for the split common fixed point problem. In this paper, we mainly consider the viscosity iteration algorithm of the algorithm Boikanyo to approximate the split common fixed point problem, and we get the generated sequence strongly converges to a solution of this problem. The main results in this paper extend and improve some results of Boikanyo [O. A. Boikanyo, Appl. Math. Comput., 265 (2015), 844-853] and Cui and Wang [H. H. Cui, F. H. Wang, Fixed Point Theory Appl., 2014 (2014), 8 pages]. The research highlights of this paper are novel algorithms and strong convergence results. (C) 2016 All rights reserved.
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页码：5332 / 5343
页数：12
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