Volume 36 • Number 1 • 2013   • A Hybrid Extragradient Method for Pseudomonotone Equilibrium Problems and Fixed Point Problems Pham Ngoc Anh Abstract. In this paper, we introduce a new hybrid extragradient iteration method for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of equilibrium problems for pseudomonotone and Lipschitz-type continuous bifunctions. The iterative process is based on two well-known methods: Hybrid and extragradient. We show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space. 2010 Mathematics Subject Classification: 65K10, 65K15, 90C25, 90C33 Full text: PDF