Acta Mathematica Vietnamica
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HYBRID PROXIMAL POINT AND EXTRAGRADIENT ALGORITHMS FOR SOLVING EQUILIBRIUM PROBLEMS
Pham N. Anh
,
Nguyen D. Hien
Abstract
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.