Inertial Subgradient Extragradient Algorithm for Solving Variational Inequality Problems with Pseudomonotonicity

作     者：Yuwan Ding Hongwei Liu Xiaojun Ma Yuwan Ding;Hongwei Liu;Xiaojun Ma

作者机构：School of Mathematics and StatisticsXidian UniversityXi’an710126China 

出 版 物：《哈尔滨工业大学学报:英文版》 (Journal of Harbin Institute of Technology(New Series))

年 卷 期：2023年第30卷第5期

页      面：65-75页

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

主　　题：variational inequality extragradient method pseudomonotonicity Lipschitz continuity weak and linear convergence 

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.