A primal-dual proximal point algorithm for constrained convex programs

We present a primal-dual application of the proximal point algorithm to solve convex constrained minimization problems. Motivated by the work of Eckstein [Math. Oper. Res. 18 (1993) 203] about the generalized proximal point method, we propose here a mixed proximal multipliers method where we improve the result of Eckstein [Math. Oper. Res. 18 (1993) 203] Theorem 1.