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  • A_new_extragradient_iteration_algorithm_for_bilevel_variational_inequalities_2012.pdf.jpg
  • Article

  • A new extragradient iteration algorithm for bilevel variational inequalities

    • Authors: Pham, Ngoc Anh (2012)

  • In this paper, we introduce an approximation extragradient iteration method for solving bilevel variational inequalities involving two variational inequalities and we show that these problems can be solved by projection sequences and fixed point techniques. We obtain a strong convergence of three iteration sequences generated by this method in a real Hilbert space.
  • 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...
  • Strongly_convergece ...._2012.pdf.jpg
  • Article

  • Strong Convergence Theorems for Nonexpansive Mappings and Ky Fan Inequalities

    • Authors: Pham, Ngoc Anh (2012)

  • Abstract We introduce a new iteration method and prove strong convergence the- orems for finding a common element of the set of fixed points of a nonexpansive mapping and the solution set of monotone and Lipschitz-type continuous Ky Fan inequality. Under certain conditions on parameters, we show that the iteration se- quences generated by this method converge strongly to the common element in a real Hilbert space. Some preliminary computational experiences are reported.