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  • A_new_iterative_scheme_with_nonexpansive_mapping_for_equilibrium_problems_2012.pdf.jpg
  • Article

  • A new iterative scheme with nonexpansive

    • Authors: Pham, Ngoc Anh; Thanh DD (2012)

  • In this paper, we suggest a new iteration scheme for finding a common of the solution set of monotone, Lipschitz-type continuous equilibrium problems and the set of fixed points of a nonexpansive mapping. The scheme is based on both hybrid method and extragradient-type method. We obtain a strong convergence theorem for the sequences generated by these processes in a real Hilbert space. Based on this result, we also get some new and interesting results. The results in this paper generalize, extend, and improve some well-known results in the literature. AMS 2010 Mathe...