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An alternated inertial method for pseudomonotone variational inequalities in Hilbert spaces
Optimization and Engineering ( IF 2.1 ) Pub Date : 2021-03-19 , DOI: 10.1007/s11081-021-09615-1
Ferdinard U. Ogbuisi , Yekini Shehu , Jen-Chih Yao

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.



中文翻译:

Hilbert空间中伪单调变分不等式的交替惯性方法

在本文中,我们引入了一种新的松弛引数算法,该算法具有交替的惯性外推步长和自适应变量步长大小,用于解决希尔伯特空间中成本算子为伪单调算子的变分不等式问题。在某些标准假设下,我们建立了所提出算法的弱收敛性和线性收敛性。进行数值实验以支持理论结果并与最近的相关方法进行比较。

更新日期:2021-03-19
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