Extragradient methods with CQ technique for fixed point problems and equilibrium problems

Abstract

In this paper, we study iterative algorithms for solving fixed point problems and equilibrium
problems in Hilbert spaces. We present an extragradient algorithm with CQ technique for finding a
common element of the fixed points of pseudocontractive operators and the solutions of pseudomonotone equilibrium problems. Strong convergence result of the proposed algorithm is proved.