L. C. Zeng and J. C. Yao, “Strong Convergence Theorem by an Extragradient Method for Fixed Point Problems and Variational Inequality Problems,” Taiwanese Journal of Mathematics, Vol. 10, No. 5, 2010, pp. 1293-1303.

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.