Two Projection Methods for Solving the Split Common Fixed Point Problem with Multiple Output Sets in Hilbert Spaces

被引：24

作者：

Kim, Jong Kyu ^{[1
]}

Truong Minh Tuyen ^{[2
]}

Mai Thi Ngoc Ha ^{[3
]}

机构：

[1] Kyungnam Univ, Dept Math Educ, Chang Won, Gyeongnam, South Korea

[2] Thai Nguyen Univ Sci, Dept Math & Informat, Thai Nguyen, Vietnam

[3] Thai Nguyen Univ Agr & Forestry, Thai Nguyen, Vietnam

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2021年 / 42卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

Multiple output sets; nonexpansive mapping; projection methods; split common fixed point problem; STRONG-CONVERGENCE THEOREM; FEASIBILITY PROBLEM; ALGORITHMS;

D O I：

10.1080/01630563.2021.1933528

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the split common fixed point problem with multiple output sets in Hilbert spaces. In order to solve this problem, we propose two new algorithms and establish two strong convergence theorems for both of them. Moreover, using these methods, we also remove the assumptions imposed on the norm of the transfer operators.

引用

页码：973 / 988

页数：16

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