Outer approximation algorithms for pseudomonotone equilibrium problems

We propose a new method for solving equilibrium problems on a convex subset CC, 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 Ck⊇C,k=0,1,…Ck⊇C,k=0,1,… , 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.