Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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FIXED POINT SOLUTION METHODS FOR SOLVING EQUILIBRIUM PROBLEMS

  • Anh, Pham Ngoc (Department of Scientific Fundamentals Posts and Telecommunications Institute of Technology) ;
  • Hien, Nguyen Duc (Department of Natural Sciences Duy Tan University)
  • Received : 2012.11.16
  • Published : 2014.03.31
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Abstract

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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References

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