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P. N. Anh and N. D. Hien, “The Extragradient-Armijo Method for Pseudomonotone Equilibrium Problems and Strict Pseudocontractions,” Fixed Point Theory and Applications, Vol. 2012, No. 1, 2012, pp. 1-16. doi:10.1186/1687-1812-2012-82

has been cited by the following article:

• TITLE: Hybrid Extragradient-Type Methods for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudo-Contraction Mappings

  AUTHORS: Pham Ngoc Anh, Tran Dinh Quoc, Dang Xuan Son

  KEYWORDS: Equilibrium Problems; Fixed Point; Pseudo-Monotone; Lipschitz-Type Continuity; Extragradient Method; Strict Pseudo-Contraction Mapping

  JOURNAL NAME: Applied Mathematics, Vol.3 No.10A, November 1, 2012

  ABSTRACT: This paper proposes a new hybrid variant of extragradient methods for finding a common solution of an equilibrium problem and a family of strict pseudo-contraction mappings. We present an algorithmic scheme that combine the idea of an extragradient method and a successive iteration method as a hybrid variant. Then, this algorithm is modified by projecting on a suitable convex set to get a better convergence property. The convergence of two these algorithms are investigated under certain assumptions.