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.

引用

页码：4783 / 4793

页数：11

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