A new self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in Hilbert spaces

被引：21
|
作者：
Reich, Simeon [1 ]
Truong Minh Tuyen [2 ]
Nguyen Thi Thu Thuy [3 ]
Mai Thi Ngoc Ha [4 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
[2] Thai Nguyen Univ Sci, Dept Math & Informat, Thai Nguyen, Vietnam
[3] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, Hanoi, Vietnam
[4] Thai Nguyen Univ Agr & Forestry, Thai Nguyen, Vietnam
来源：
NUMERICAL ALGORITHMS | 2022年 / 89卷 / 03期
基金：
以色列科学基金会;
关键词：
Hilbert space; Metric projection; Nonexpansive mapping; Fixed point; SHRINKING PROJECTION METHOD; STRONG-CONVERGENCE THEOREM; FEASIBILITY PROBLEM;
D O I：
10.1007/s11075-021-01144-3
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 a new algorithm and establish a strong convergence theorem for it. Moreover, using our method, we also remove the assumptions imposed on the norms of the transfer operators.
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页码：1031 / 1047
页数：17
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