典型文献
STRONG CONVERGENCE OF AN INERTIAL EXTRAGRADIENT METHOD WITH AN ADAPTIVE NONDECREASING STEP SIZE FOR SOLVING VARIATIONAL INEQUALITIES
文献摘要：
In this work,we investigate a classical pseudomonotone and Lipschitz continuous variational inequality in the setting of Hilbert space,and present a projection-type approxi-mation method for solving this problem.Our method requires only to compute one projection onto the feasible set per iteration and without any linesearch procedure or additional pro-jections as well as does not need to the prior knowledge of the Lipschitz constant and the sequentially weakly continuity of the variational inequality mapping.A strong convergence is established for the proposed method to a solution of a variational inequality problem un-der certain mild assumptions.Finally,we give some numerical experiments illustrating the performance of the proposed method for variational inequality problems.
文献关键词：
中图分类号：
作者姓名：
Nguyen Xuan LINH;Duong Viet THONG;Prasit CHOLAMJIAK;Pham Anh TUAN;Luong Van LONG
作者机构：
Department of Mathematics Mathematics,Falcuty of Information Technology,National University of Civil Engineering;Division of Applied Mathematics,Thu Dau Mot University,Binh Duong Province,Vietnam;School of Science,University of Phayao,Phayao 56000,Thailand;Faculty of Mathematical Economics,National Economics University,Hanoi City,Vietnam
文献出处：
引用格式：
[1]Nguyen Xuan LINH;Duong Viet THONG;Prasit CHOLAMJIAK;Pham Anh TUAN;Luong Van LONG-.STRONG CONVERGENCE OF AN INERTIAL EXTRAGRADIENT METHOD WITH AN ADAPTIVE NONDECREASING STEP SIZE FOR SOLVING VARIATIONAL INEQUALITIES)[J].数学物理学报（英文版）,2022(02):795-812
A类：
CONVERGENCE,INERTIAL,EXTRAGRADIENT,ADAPTIVE,NONDECREASING,SIZE,SOLVING,VARIATIONAL,INEQUALITIES,pseudomonotone,linesearch,jections
B类：
STRONG,OF,AN,METHOD,WITH,STEP,FOR,In,this,work,investigate,classical,Lipschitz,continuous,variational,inequality,setting,Hilbert,space,present,projection,type,approxi,mation,method,solving,Our,requires,only,compute,onto,feasible,iteration,without,any,procedure,additional,well,does,need,prior,knowledge,constant,sequentially,weakly,continuity,mapping,strong,convergence,established,proposed,solution,un,der,certain,mild,assumptions,Finally,give,some,numerical,experiments,illustrating,performance,problems
AB值：
0.529398
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