Extragradient Methods for Solving Equilibrium Problems, Variational Inequalities, and Fixed Point Problems

被引：16

作者：

Jouymandi, Zeynab ^{[1
]}

Moradlou, Fridoun ^{[1
]}

机构：

[1] Sahand Univ Technol, Dept Math, Tabriz, Iran

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2017年 / 38卷 / 11期

关键词：

Generalized equilibrium problem; generalized metric projection; relatively nonexpansive mapping; strong convergence; variational inequality; RELATIVELY NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE THEOREM; WEAK-CONVERGENCE; BANACH-SPACES; MONOTONE-OPERATORS; HYBRID MAPPINGS;

D O I：

10.1080/01630563.2017.1321017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose the new extragradient algorithms for an alpha-inverse-strongly monotone operator and a relatively nonexpansive mapping in Banach spaces. We prove convergence theorems by this methods under suitable conditions. Applying our algorithms, we find a zero paint of maximal monotone operators. Using FMINCON optimization toolbox in MATLAB, we give an example to illustrate the usability of our results.

引用

页码：1391 / 1409

页数：19

共 20 条

[1]

Agarwal RP, 2009, TOPOL FIXED POINT TH, V6, P1, DOI 10.1007/978-0-387-75818-3_1

[2]

Alber Y. I., 1996, THEORY APPL NONLINEA, V178, P15

[3] WEAK CONVERGENCE THEOREMS FOR 2-GENERALIZED HYBRID MAPPINGS AND EQUILIBRIUM PROBLEMS [J].