Abstract: A new class of extended general nonconvex variational inequalities is introduced.The equivalence between the extended general nonconvex variational inequality and the fixed point problem is established using essentially projection technique.This alternative equivalent formulation is used to suggest and analyze a predictor-corrector method for finding an approximate solution of the general nonconvex variational inequality.The convergence analysis of the corresponding iterative sequence are also considered under the condition of the underlying operator T with g-γ-strongly monotone.