J. W. Peng, “Iterative Algorithms for Mixed Equilibrium Problems, Strict Pseudo Contractions and Monotone Mappings,” Journal of Optimization Theory and Applications, Vol. 144, No. 5, 2010, pp. 107-119. doi:10.1007/s10957-009-9585-5

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.