Predictor-corrector methods for multi-valued hemiequilibrium problems

In this paper, we introduce and analyze a new class of equilibrium problems known as multi-valued hemiequilibrium problems. It is shown that this class includes hemiequilibrium problems, hemivariational inequalities and complementarity problems as special cases. We use the auxiliary principle techniques to suggest some predictor-corrector type iterative methods for solving multi-valued hemiequilibrium problems. We also analyze the convergence analysis of these new iterative methods under some mild conditions.