AN ITERATIVE ALGORITHM WITH APPLICATIONS FOR SOLVING VARIATIONAL INCLUSION PROBLEMS AND NONEXPANSIVE MAPPINGS

被引：0
|
作者：
Latif, A. [1 ]
Al-mazrooei, A. E. [1 ]
Qin, X. [2 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] Kyung Hee Univ, Ctr Converging Humanities, Seoul, South Korea
来源：
FIXED POINT THEORY | 2023年 / 24卷 / 02期
关键词：
Banach space; nonexpansive mapping; splitting method; variational inequality; variational inclusion; fixed point; ACCRETIVE-OPERATORS; ZERO-POINT; CONVERGENCE;
D O I：
10.24193/fpt-ro.2023.2.11
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a viscosity splitting iterative algorithm with perturbation is introduced for solving an inclusion problem with two accretive operators and a fixed point problem of an infinite family of nonexpansive mappings. Strong convergence of the iterative algorithm is obtained in a Banach space. A convex minimization problem is also considered in Hilbert spaces as an applications.
引用
收藏
页码：627 / 640
页数：14
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