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

页码：627 / 640

页数：14

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