Modified inertial subgradient extragradient method for equilibrium problems

被引：0
|
作者：
Jolaoso, Lateef Olakunle [2 ]
Shehu, Yekini [1 ]
Nwokoye, Regina N. [3 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, POB 94 Medunsa 0204, Pretoria, South Africa
[3] Univ Nigeria, Dept Math, Nsukka, Nigeria
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 02期
关键词：
equilibrium problem; Hilbert spaces; inertial step; subgradient extragradient method; weak and strong convergence; CONVERGENCE THEOREMS; ALGORITHMS; WEAK;
D O I：
10.1515/ijnsns-2021-0099
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The subgradient extragradient method with inertial extrapolation step x( n ) + theta( n )(x( n ) - x(n-1)) (also known as inertial subgradient extragradient method) has been studied extensively in the literature for solving variational inequalities and equilibrium problems. Most of the inertial subgradient extragradient methods in the literature for both variational inequalities and equilibrium problems have not considered the special case when the inertial factor theta( n ) = 1. The convergence results have always been obtained when the inertial factor theta( n ) is assumed 0 <= theta( n ) < 1. This paper considers the relaxed inertial version of subgradient extragradient method for equilibrium problems with 0 <= theta( n ) <= 1. We give both weak and strong convergence results using this inertial subgradient extragradient method and also give some numerical illustrations.
引用
收藏
页码：599 / 616
页数：18
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