A Hybrid Iterative Scheme for Equilibrium Problems , Variational Inequality Problems , and Fixed Point Problems in Banach Spaces

@inproceedings{Cholamjiak2009AHI,
  title={A Hybrid Iterative Scheme for Equilibrium Problems , Variational Inequality Problems , and Fixed Point Problems in Banach Spaces},
  author={Prasit Cholamjiak},
  year={2009}
}
The purpose of this paper is to introduce a new hybrid projection algorithm for finding a common element of the set of solutions of the equilibrium problem and the set of the variational inequality for an inverse-stronglymonotone operator and the set of fixed points of relatively quasinonexpansive mappings in a Banach space. Then we show a strong convergence theorem. Using this result, we obtain some applications in a Banach space.