An alternated inertial method for pseudomonotone variational inequalities in Hilbert spaces

被引：17
|
作者：
Ogbuisi, Ferdinard U. [1 ]
Shehu, Yekini [2 ]
Yao, Jen-Chih [3 ,4 ]
机构：
[1] Univ Nigeria, Dept Math, Nsukka, Nigeria
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[3] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung, Taiwan
[4] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung, Taiwan
来源：
OPTIMIZATION AND ENGINEERING | 2022年 / 23卷 / 02期
关键词：
Variational inequality problem; Pseudomonotone operators; Alternated inertial method; Weak convergence; Hilbert space; SUBGRADIENT EXTRAGRADIENT METHOD; MONOTONE-OPERATORS; PROJECTION METHODS; STRONG-CONVERGENCE; HYBRID METHOD; ALGORITHM; WEAK;
D O I：
10.1007/s11081-021-09615-1
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we introduce a new relaxed extrgadient algorithm with alternated inertial extrapolation step and self adaptive variable stepsizes for solving variational inequality problems whose cost operator is pseudomonotone operator in Hilbert spaces. We establish the weak convergence of the proposed algorithm and linear convergence under some standard assumptions. Numerical experiments are given to support theoretical results and comparison with recent related methods.
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页码：917 / 945
页数：29
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