This paper deals with the study of non-convex variational inequalities and general non-convex variational inequalities. The author introduces two new classes, named regularized non-convex variational inequalities and general regularized non-convex variational inequalities, and establishes the equivalence between these two classes of non-convex variational inequalities and the fixed point problems. By using the obtained equivalence formulation, a new iterative scheme is proposed to approximate the solutions of general regularized non-convex variational inequalities. Furthermore, the existence and uniqueness of a solution for general regularized non-convex variational inequalities is proved and the convergence analysis of the proposed iterative algorithm under some certain conditions is studied. Finally, the author poses some open problems on the existence of solutions for the non-convex variational inequality and the predictor-corrector algorithm.