STRONG CONVERGENCE RESULTS FOR THE SPLIT FIXED POINT PROBLEM AND THE PROXIMAL SPLIT FEASIBILITY PROBLEM

被引：0

作者：

Yao, Zhangsong ^{[1
]}

Shahzad, Naseer ^{[2
]}

机构：

[1] Nanjing Xiaozhuang Univ, Sch Informat Engn, Nanjing 211171, Peoples R China

[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 08期

关键词：

Split fixed point problem; directed operator; proximal split feasibility problem; proximal operator; ITERATIVE ALGORITHMS; PROJECTION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate iterative methods for the split fixed point problem and the proximal split feasibility problem in Hilbert spaces. We propose an iterative algorithm using fixed point techniques for finding a common point of the split fixed point problem of two directed operators and the proximal split feasibility problem. Under some additional conditions, we prove that the suggested algorithm has strong convergence.

引用

页码：1831 / 1842

页数：12

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