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Bull. Korean Math. Soc. 2018; 55(5): 1503-1521
Online first article May 2, 2018 Printed September 30, 2018
https://doi.org/10.4134/BKMS.b170868
Copyright © The Korean Mathematical Society.
Modified subgradient extragradient algorithm for pseudomonotone equilibrium problems
Dang Van Hieu
Ton Duc Thang University
The paper introduces a modified subgradient extragradient method for solving equilibrium problems involving pseudomonotone and Lipschitz-type bifunctions in Hilbert spaces. Theorem of weak convergence is established under suitable conditions. Several experiments are implemented to illustrate the numerical behavior of the new algorithm and compare it with a well known extragradient method.
Keywords: equilibrium problem, extragradient method, subgradient method, Lipschitz-type condition, pseudomonotone bifunction
MSC numbers: Primary 90C33, 47J20
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