Viscosity-type inertial extragradient algorithms for solving variational inequality problems and fixed point problems

被引:0
作者
Bing Tan
Zheng Zhou
Songxiao Li
机构
[1] University of Electronic Science and Technology of China,Institute of Fundamental and Frontier Sciences
来源
Journal of Applied Mathematics and Computing | 2022年 / 68卷
关键词
Variational inequality; Fixed point problem; Subgradient extragradient method; Tseng’s extragradient method; Inertial method; 47H05; 47H09; 49J15; 47J20; 65K15;
D O I
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中图分类号
学科分类号
摘要
The paper presents two inertial viscosity-type extragradient algorithms for finding a common solution of the variational inequality problem involving a monotone and Lipschitz continuous operator and of the fixed point problem with a demicontractive mapping in real Hilbert spaces. Our algorithms use a simple step size rule which is generated by some calculations at each iteration. Two strong convergence theorems are obtained without the prior knowledge of the Lipschitz constant of the operator. The numerical behaviors of the proposed algorithms in some numerical experiments are reported and compared with previously known ones.
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页码:1387 / 1411
页数:24
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