Equilibrium Problems and Moudafi ’ S Viscosity Approximation Methods in Hilbert Spaces

@inproceedings{Nilsrakoo2010EquilibriumPA,
  title={Equilibrium Problems and Moudafi ’ S Viscosity Approximation Methods in Hilbert Spaces},
  author={Weerayuth Nilsrakoo and S. Saejung},
  year={2010}
}
We establish an iterative scheme by means of Mann’s method and Moudafi’s method to find a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space. We prove a convergence theorem of our iteration under the weaker assumption as were the case in Takahashi and Takahashi’s recent results. The new iteration considered in the paper is applied to find a common element of the set of fixed points of a nonexpansive mapping… CONTINUE READING