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

被引：29

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.

引用

页码：1031 / 1047

页数：17