典型文献
Subgradient Extragradient Methods for Equilibrium Problems and Fixed Point Problems in Hilbert Space
文献摘要：
Inspired by inertial methods and extragradient algorithms, two algorithms were proposed to investigate fixed point problem of quasinonexpansive mapping and pseudomonotone equilibrium problem in this study. In order to enhance the speed of the convergence and reduce computational cost, the algorithms used a new step size and a cutting hyperplane. The first algorithm was proved to be weak convergence, while the second algorithm used a modified version of Halpern iteration to obtain strong convergence. Finally, numerical experiments on several specific problems and comparisons with other algorithms verified the superiority of the proposed algorithms.
文献关键词：
中图分类号：
作者姓名：
Lulu Yin;Hongwei Liu
作者机构：
School of Mathematics and Statistics,Xidian University,Xi'an 710126,China
文献出处：
引用格式：
[1]Lulu Yin;Hongwei Liu-.Subgradient Extragradient Methods for Equilibrium Problems and Fixed Point Problems in Hilbert Space)[J].哈尔滨工业大学学报（英文版）,2022(01):15-23
A类：
Subgradient,Extragradient,quasinonexpansive,pseudomonotone,hyperplane,Halpern
B类：
Methods,Equilibrium,Problems,Fixed,Point,Hilbert,Space,Inspired,by,inertial,methods,extragradient,algorithms,two,were,proposed,investigate,fixed,point,mapping,equilibrium,this,study,order,enhance,speed,convergence,reduce,computational,cost,used,new,step,size,cutting,first,was,proved,weak,while,second,modified,version,iteration,obtain,strong,Finally,numerical,experiments,several,specific,problems,comparisons,other,verified,superiority
AB值：
0.589392
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