Commun. Korean Math. Soc. 2016; 31(4): 879-893
Online first article October 6, 2016 Printed October 31, 2016
https://doi.org/10.4134/CKMS.c150088
Copyright © The Korean Mathematical Society.
Dang Van Hieu
Vietnam National University, Hanoi
In this paper, we introduce three subgradient extragradient algorithms for solving pseudomonotone equilibrium problems. The paper originates from the subgradient extragradient algorithm for variational inequalities and the extragradient method for pseudomonotone equilibrium problems in which we have to solve two optimization programs onto feasible set. The main idea of the proposed algorithms is that at every iterative step, we have replaced the second optimization program by that one on a specific half-space which can be performed more easily. The weakly and strongly convergent theorems are established under widely used assumptions for bifunctions.
Keywords: hybrid method, subgradient method, extragradient method, equilibrium problem
MSC numbers: Primary 47J25, 65K10, 90C25, 90C33
2016; 31(4): 765-777
2013; 28(2): 335-351
2013; 28(1): 191-207
2010; 25(1): 69-82
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