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 extension of the extragradient algorithmto pseudomonotone equilibriumproblem satisfying a certain Lipschitz condition. To avoid the Lipschitz condition we propose a line search technique to obtain a convergent algorithm for pseudomonotone equilibrium problems.