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

Journal of Inequalities and Applications

Manatchanok Khonchaliew¹  Narin Petrot²  Vahid Dadashi³  Mohsen Rabbani³ 

[1] 0000 0000 9211 2704, grid.412029.c, Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand;0000 0000 9211 2704, grid.412029.c, Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand;0000 0000 9211 2704, grid.412029.c, Centre of Excellence in Nonlinear Analysis and Optimization, Faculty of Science, Naresuan University, Phitsanulok, Thailand;Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran;

关键词: Split equilibrium problem;    Pseudomonotonicity;    Extragradient method;    68W10;    65K10;    65K15;    47H09;   

DOI  :  10.1186/s13660-019-2086-7

来源: publisher

【 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.

【 授权许可】

CC BY