Modified Subgradient Extragradient Method for Variational Inequality Problems and Fixed Point Problems  

作　　者：Xiaoyin Li Hongwei Liu Jiangli Cheng Dongyao Zhang 

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)》2022年第5期11-19,共9页哈尔滨工业大学学报（英文版）

摘　　要：Many approaches inquiring into variational inequality problems have been put forward,among which subgradient extragradient method is of great significance.A novel algorithm is presented in this article for resolving quasi-nonexpansive fixed point problem and pseudomonotone variational inequality problem in a real Hilbert interspace.In order to decrease the execution time and quicken the velocity of convergence,the proposed algorithm adopts an inertial technology.Moreover,the algorithm is by virtue of a non-monotonic step size rule to acquire strong convergence theorem without estimating the value of Lipschitz constant.Finally,numerical results on some problems authenticate that the algorithm has preferable efficiency than other algorithms.

关 键 词：inertial method fixed point variational inequality strong convergence subgradient extragradient method 

分 类 号：O224[理学—运筹学与控制论]