Weak and strong convergence theorems for the split common fixed point problem with demicontractive operators

被引：14
|
作者：
Fan, Qinwei [1 ,2 ]
Peng, Jigen [1 ]
He, Huimin [3 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou, Peoples R China
[2] Xian Polytech Univ, Sch Sci, Xian, Peoples R China
[3] Xidian Univ, Sch Math & Stat, Xian, Peoples R China
来源：
OPTIMIZATION | 2021年 / 70卷 / 5-6期
基金：
中国博士后科学基金;
关键词：
Split common fixed point problem; demicontractive mapping; weak convergence; strong convergence; CQ-ALGORITHM;
D O I：
10.1080/02331934.2021.1890074
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
A novel iterative algorithm is introduced for solving the split common fixed point problem with demicontractive operators. Weak and strong convergence of the algorithm is discussed. The step-sizes of the algorithm are chosen in such a way that the implementation of the algorithm does not depend on operator norms. The main results proven in this paper extend and improve some results of Yao et al. [Algorithms with strong convergence for the split common solution of the feasibility problem and fixed point problem. Fixed Point Theor Appl. 2014;2014:183], Boikanyo [A strongly convergent algorithm for the split common fixed point problem. Appl Math Comput. 2015;265:844-853] and Cui and Wang [Iterative methods for the split common fixed point problem in Hilbert spaces. Fixed Point Theor Appl. 2014;2014:78].
引用
收藏
页码：1409 / 1423
页数：15
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