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C. Marino-Yanes and H. K. Xu, “Strong Convergence of the CQ Method for Fixed Point Processes,” Nonlinear Analysis, Vol. 64, No. 11, 2006, pp. 2400-2411. doi:10.1016/j.na.2005.08.018

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.