Inertial Subgradient Extragradient Algorithm for Solving Variational Inequality Problems with Pseudomonotonicity  

作　　者：Yuwan Ding Hongwei Liu Xiaojun Ma 

机构地区：[1]School of Mathematics and Statistics,Xidian University,Xi’an710126,China

出　　处：《Journal of Harbin Institute of Technology(New Series)》2023年第5期65-75,共11页哈尔滨工业大学学报（英文版）

摘　　要：In order to solve variational inequality problems of pseudomonotonicity and Lipschitz continuity in Hilbert spaces, an inertial subgradient extragradient algorithm is proposed by virtue of non-monotone stepsizes. Moreover, weak convergence and R-linear convergence analyses of the algorithm are constructed under appropriate assumptions. Finally, the efficiency of the proposed algorithm is demonstrated through numerical implementations.

关 键 词：variational inequality extragradient method PSEUDOMONOTONICITY Lipschitz continuity weak and linear convergence 

分 类 号：O22[理学—运筹学与控制论]