Outer approximation algorithms for pseudomonotone equilibrium problems

Abstract: We propose a new method for solving equilibrium problems on a convex subset , where the underlying function is continuous and pseudomonotone which is called an outer approximation algorithm. The algorithm is to define new approximating subproblems on the convex domains  , which forms a generalized iteration scheme for finding a global equilibrium point. Finally we present some numerical experiments to illustrate the behavior of the proposed algorithms. [Copyright &y& Elsevier]