A RELAXED INERTIAL FACTOR OF THE MODIFIED SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING PSEUDO MONOTONE VARIATIONAL INEQUALITIES IN HILBERT SPACES  

作　　者：Duong Viet THONG Vu Tien DUNG 

机构地区：[1]Division of Applied Mathematics,Thu Dau Mot University,Binh Duong Province,Vietnam [2]Department of Mathematics,University of Science,Vietnam National University,334 Nguyen Trai,Thanh Xuan,Hanoi,Vietnam

出　　处：《Acta Mathematica Scientia》2023年第1期184-204,共21页数学物理学报（B辑英文版）

基　　金：funded by the University of Science,Vietnam National University,Hanoi under project number TN.21.01。

摘　　要：In this paper,we investigate pseudomonotone and Lipschitz continuous variational inequalities in real Hilbert spaces.For solving this problem,we propose a new method that combines the advantages of the subgradient extragradient method and the projection contraction method.Some very recent papers have considered different inertial algorithms which allowed the inertial factor is chosen in[0;1].The purpose of this work is to continue working in this direction,we propose another inertial subgradient extragradient method that the inertial factor can be chosen in a special case to be 1.Under suitable mild conditions,we establish the weak convergence of the proposed algorithm.Moreover,linear convergence is obtained under strong pseudomonotonicity and Lipschitz continuity assumptions.Finally,some numerical illustrations are given to confirm the theoretical analysis.

关 键 词：subgradient extragradient method inertial method variational inequality problem pseudomonotone mapping strong convergence convergence rate 

分 类 号：O177[理学—数学]