Weak and Strong Convergence of Self Adaptive Inertial Subgradient Extragradient Algorithms for Solving Variational Inequality Problems  

作　　者：Yao Li Hongwei Liu Jiamin Lv 

机构地区：[1]School of Mathematics and Statistics,Xidian University,Xi'an,710126,China

出　　处：《Journal of Harbin Institute of Technology(New Series)》2024年第2期38-49,共12页哈尔滨工业大学学报（英文版）

摘　　要：Many solutions of variational inequalities have been proposed,among which the subgradient extragradient method has obvious advantages.Two different algorithms are given for solving variational inequality problem in this paper.The problem we study is defined in a real Hilbert space and has L-Lipschitz and pseudomonotone condition.Two new algorithms adopt inertial technology and non-monotonic step size rule,and their convergence can still be proved when the value of L is not given in advance.Finally,some numerical results are designed to demonstrate the computational efficiency of our two new algorithms.

关 键 词：variational inequality inertial method non-monotonic step size rule Lipschitz continuity pseudomonotone mapping 

分 类 号：O224[理学—运筹学与控制论]