ON THE STRONG CONVERGENCE OF A PERTURBED ALGORITHM TO THE UNIQUE SOLUTION OF A VARIATIONAL INEQUALITY PROBLEM

被引：0

作者：

May, Ramzi ^{[1
]}

Binali, Zahrah ^{[2
]}

机构：

[1] King Faisal Univ, Coll Sci, Dept Math & Stat, Al Hasa 31982, Saudi Arabia

[2] King Faisal Univ, Coll Business, Dept Quantitat Methods, Al Hasa 31982, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2023年 / 7卷 / 02期

关键词：

Fixed points; Monotone operators; Nonexpansive mappings; Variational inequalities; VISCOSITY APPROXIMATION METHODS; FIXED-POINTS; NONEXPANSIVE-MAPPINGS;

D O I：

10.23952/jnva.7.2023.2.03

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a general iterative algorithm that generates strongly convergent to the unique solution of a general type of variational inequality over the set of the fixed points of a nonexpansive mapping. The strong convergence of the algorithm is established under general and simple conditions on the parameters. Moreover, we study a perturbed version of the algorithm and provide some numerical experiments that highlight the effects of the parameters on the stability of the algorithm and its rate of convergence.

引用

页码：209 / 221

页数：13

共 17 条

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