CONVERGENCE OF EXTRAGRADIENT-TYPE METHODS FOR FIXED POINT PROBLEMS AND QUASIMONOTONE VARIATIONAL INEQUALITIES

被引：0
|
作者：
Yu, Youli [1 ]
Zhao, Yufei [2 ]
Yin, Tzu-Chien [3 ]
机构：
[1] Taizhou Univ, Sch Elect & Informat Engn, Linhai 317000, Peoples R China
[2] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
[3] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40402, Taiwan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2023年 / 24卷 / 10期
关键词：
Fixed point; variational inequality; pseudocontractive operator; quasimonotone operator; extragradient method; PROJECTION ALGORITHM; ITERATIVE ALGORITHM; GRADIENT METHODS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, iterative algorithms for solving fixed point problems and variational inequalities have been studied in Hilbert spaces. We propose an iterative sequence by using extragradient-type method and self-adaptive method which converges weakly to an intersection of the fixed point set of a Lipschitz pseudocontractive operator and the solution set of a quasimonotone variational inequality under some additional conditions.
引用
收藏
页码：2225 / 2237
页数：13
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