Extragradient methods for split feasibility problems and generalized equilibrium problems in Banach spaces

被引：8

作者：

Jouymandi, Zeynab ^{[1
]}

Moradlou, Fridoun ^{[1
]}

机构：

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 02期

关键词：

generalized equilibrium problem; generalized metric projection; relatively nonexpansive mapping; split feasibility problem; variational inequality; STRONG-CONVERGENCE THEOREMS; FIXED-POINT PROBLEMS; RELATIVELY NONEXPANSIVE-MAPPINGS; MONOTONE-OPERATORS; WEAK-CONVERGENCE; PROXIMAL-TYPE; ALGORITHM;

D O I：

10.1002/mma.4647

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is the presentation of a new extragradient algorithm in 2-uniformly convex real Banach spaces. We prove that the sequences generated by this algorithm converge strongly to a point in the solution set of split feasibility problem, which is also a common element of the solution set of a generalized equilibrium problem and fixed points of of two relatively nonexpansive mappings. We give a numerical example to investigate the behavior of the sequences generated by our algorithm.

引用

页码：826 / 838

页数：13

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