Predictor–corrector methods for multi-valued hemiequilibrium problems

摘要

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.