Algorithmic and Analytical Approach to the Proximal Split Feasibility Problem and Fixed Point Problem

被引：1
|
作者：
Yin, Tzu-Chien [1 ]
机构：
[1] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40402, Taiwan
来源：
FILOMAT | 2022年 / 36卷 / 02期
关键词：
proximal split feasibility problem; proximal mappings; fixed point; pseudocontractive operator; ITERATIVE ALGORITHMS; VARIATIONAL INEQUALITY; STRONG-CONVERGENCE; PROJECTION METHODS; REGULAR FUNCTIONS; KNOWLEDGE; OPERATORS; SYSTEMS;
D O I：
10.2298/FIL2202439Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the proximal split feasibility algorithm and fixed point problem in Hilbert spaces. We propose an iterative algorithm for finding a common element of the solution of the proximal split feasibility algorithm and fixed point of an L- Lipschitz pseudocontractive operator. We demonstrate that the considered algorithm converges strongly to a common point of the investigated problems under some mild conditions.
引用
收藏
页码：439 / 448
页数：10
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