IMPLEMENTABLE QUADRATIC REGULARIZATION METHODS FOR SOLVING PSEUDOMONOTONE EQUILIBRIUM PROBLEMS

Abstract

In this paper we use the quadratic regularization technique to develop two iterative algorithms for solving equilibrium problems. The first one is an ex- tension of the extragradient algorithm to pseudomonotone equilibrium problem satisfying a certain Lipschitz condition. To avoid the Lipschitz condition we propose a line search technique to obtain a convergent algorithm for pseu- domonotone equilibrium problems.