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Bull. Korean Math. Soc. 2014; 51(2): 479-499
Printed March 31, 2014
https://doi.org/10.4134/BKMS.2014.51.2.479
Copyright © The Korean Mathematical Society.
Fixed point solution methods for solving equilibrium problems
Pham Ngoc Anh and Nguyen Duc Hien
Posts and Telecommunications Institute of Technology, Duy Tan University
In this paper, we propose new iteration methods for finding a common point of the solution set of a pseudomonotone equilibrium problem and the solution set of a monotone equilibrium problem. The methods are based on both the extragradient-type method and the viscosity approximation method. We obtain weak convergence theorems for the sequences generated by these methods in a real Hilbert space.
Keywords: equilibrium problems, monotone, pseudomonotone, Lipschitz-type continuous, fixed point
MSC numbers: 65Kxx, 90Cxx
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