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

页码：1409 / 1423

页数：15

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