On the O(1/t) convergence rate of the parallel descent-like method and parallel splitting augmented Lagrangian method for solving a class of variational inequalities

In this paper, we extend parallel descent-like method (PDLM) and parallel splitting augmented Lagrangian method (PSALM) for structured monotone variational inequalities whose operator is composed by three separable operators, and prove their O(1/t) convergence rate.