An extragradient-like approximation method for variational inequality problems and fixed point problems

@article{Ceng2007AnEA,
  title={An extragradient-like approximation method for variational inequality problems and fixed point problems},
  author={Lu-Chuan Ceng and Jen-Chih Yao},
  journal={Applied Mathematics and Computation},
  year={2007},
  volume={190},
  pages={205-215}
}
The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for a monotone, Lipschitz continuous mapping. We introduce an extragradient-like approximation method which is based on so-called extragradient method and viscosity approximation method. We establish a strong convergence theorem for two iterative sequences generated by this method. 2007 Elsevier Inc… CONTINUE READING

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