Extragradient MethodsWith CQ Technique for Fixed Point Problems and Equilibrium Problems

被引：0
|
作者：
Yao, Zhangsong [1 ]
Liou, Yeong-Cheng [2 ,3 ,4 ]
Zhu, Li-Jun [5 ,6 ]
机构：
[1] Nanjing Xiaozhuang Univ, Sch Informat Engn, Nanjing 211171, Peoples R China
[2] Kaohsiung Med Univ, Dept Healthcare Adm & Med Informat, Kaohsiung 807, Taiwan
[3] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 807, Taiwan
[4] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 807, Taiwan
[5] North Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Ningxia, Peoples R China
[6] North Minzu Univ, Key Lab Intelligent Informat & Big Data Proc Ning, Yinchuan 750021, Ningxia, Peoples R China
来源：
FILOMAT | 2020年 / 34卷 / 14期
基金：
中国国家自然科学基金;
关键词：
Fixed point; Pseudomonotone equilibrium problem; Pseudocontractive operators; Extragradient method; VARIATIONAL-INEQUALITIES; CONVERGENCE; SYSTEMS;
D O I：
10.2298/FIL2014783Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study iterative algorithms for solving fixed point problems and equilibrium problems in Hilbert spaces. We present an extragradient algorithm with CQ technique for finding a common element of the fixed points of pseudocontractive operators and the solutions of pseudomonotone equilibrium problems. Strong convergence result of the proposed algorithm is proved.
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页码：4783 / 4793
页数：11
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