A NEW DOUBLE INERTIAL SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING QUASIMONOTONE VARIATIONAL INEQUALITY PROBLEMS

被引：1

作者：

George, R. ^{[1
]}

Ofem, A. E. ^{[2
]}

Mebawondu, A. A. ^{[2
,3
]}

Akutsah, F. ^{[2
]}

Alshammari, F. ^{[1
]}

Narain, O. K. ^{[2
]}

机构：

[1] Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Sci & Humanities Al Kharj, Al Kharj 11942, Saudi Arabia

[2] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

[3] Mt Top Univ, Dept Comp Sci & Math, Prayer, Ogun, Nigeria

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2025年 / 21卷 / 03期

关键词：

Variational inequality problem; image restoration problem; inertial term; iterative method; subgradient extragradient;

D O I：

10.3934/jimo.2024163

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In order to solve variational inequality problems for which the cost operator is quasimonotone and Lipschitz continuous in real Hilbert spaces, we propose a new double inertial subgradient extragradient method. The new method involves double inertial extrapolation steps and a self-adaptive step size. The weak convergence result of our method is established under some mild assumptions. The advantages of our method over many existing methods are illustrated via numerical experiments. Finally, we apply our results to an image restoration problem.

引用

页码：2074 / 2090

页数：17

共 37 条

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