A new extragradient algorithm for split equilibrium problems and fixed point problems

被引：7

作者：

Petrot, Narin ^{[1
,2
]}

Rabbani, Mohsen ^{[3
]}

Khonchaliew, Manatchanok ^{[1
]}

Dadashi, Vahid ^{[3
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok, Thailand

[2] Naresuan Univ, Fac Sci, Ctr Excellence Nonlinear Anal & Optimizat, Phitsanulok, Thailand

[3] Islamic Azad Univ, Sari Branch, Dept Math, Sari, Iran

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 1期

关键词：

Split equilibrium problem; Pseudomonotonicity; Extragradient method; STRONG-CONVERGENCE THEOREMS; FEASIBILITY; INEQUALITIES;

D O I：

10.1186/s13660-019-2086-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a new extragradient algorithm for approximating a solution of the split equilibrium problems and split fixed point problems. The strong convergence theorems are proved in the framework of Hilbert spaces under some mild conditions. We apply the obtained main result for the problem of finding a solution of split variational inequality problems and split fixed point problems and a numerical example and computational results are also provided.

引用

页数：18

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