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.

引用

页码：1031 / 1047

页数：17

共 50 条

[41] The split common fixed point problem with multiple output sets for demicontractive mappings
Cui, Huanhuan
Wang, Fenghui
OPTIMIZATION, 2024, 73 (06) : 1933 - 1947
[42] A new iterative method for the split common fixed point problem in Hilbert spaces
Wang, Fenghui
OPTIMIZATION, 2017, 66 (03) : 407 - 415
[43] The split feasibility problem with multiple output sets in Hilbert spaces
Reich, Simeon
Minh Tuyen Truong
Thi Ngoc Ha Mai
OPTIMIZATION LETTERS, 2020, 14 (08) : 2335 - 2353
[44] The split feasibility problem with multiple output sets in Hilbert spaces
Simeon Reich
Minh Tuyen Truong
Thi Ngoc Ha Mai
Optimization Letters, 2020, 14 : 2335 - 2353
[45] An algorithm for a class of variational inequalities with the split common fixed point problem with multiple output sets constraints
Van, Le Huynh My
Anh, Tran Viet
OPTIMIZATION, 2023,
[46] A Cyclic Algorithm for the Split Common Fixed Point Problem of Demicontractive Mappings in Hilbert Spaces
Tang, Yu-Chao
Peng, Ji-Gen
Liu, Li-Wei
MATHEMATICAL MODELLING AND ANALYSIS, 2012, 17 (04) : 457 - 466
[47] SELF-ADAPTIVE ALGORITHMS FOR AN EQUILIBRIUM SPLIT PROBLEM IN HILBERT SPACES
Sun, Wenlong
Lu, Gang
Jin, Yuanfeng
Park, Choonkil
JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (04): : 1581 - 1596
[48] A unified framework for the two-sets split common fixed point problem in Hilbert spaces
Yao, Yonghong
Leng, Limin
Postolache, Mihai
Zheng, Xiaoxue
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (12): : 6113 - 6125
[49] A fixed point method for solving a split feasibility problem in Hilbert spaces
Qin, Xiaolong
Wang, Lin
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (01) : 315 - 325
[50] A fixed point method for solving a split feasibility problem in Hilbert spaces
Xiaolong Qin
Lin Wang
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 315 - 325

← 1 2 3 4 5 →