FIXED POINT SOLUTION METHODS FOR SOLVING EQUILIBRIUM PROBLEMS

Phạm Ngọc Ánh, Nguyen Duc Hien · Bulletin of the Korean Mathematical Society · 2014

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.

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