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.

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