PredictorCorrector Methods for General Regularized Nonconvex Variational Inequalities
This paper is devoted to the study of a new class of nonconvex variational inequalities, named general regularized nonconvex variational inequalities. By using the auxiliary principle technique, a new modified predictorcorrector iterative algorithm for solving general regularized nonconvex variational inequalities is suggested and analyzed. The convergence of the iterative algorithm is established under the partially relaxed monotonicity assumption. As a consequence, the algorithm and results presented in the paper overcome incorrect algorithms and results existing in the literature.
general regularized nonconvex variational inequalities predictorcorrector iterative algorithm nonconvex sets prox-regularity convergence analysis