Convergence results of two-step inertial proximal point algorithm

This paper proposes a two-point inertial proximal point algorithm to find zero of maximal monotone operators in Hilbert spaces. We obtain weak convergence results and non-asymptotic O(1/n) rate our proposed non-ergodic sense. Applications various well-known convex optimization methods, such as the method multipliers alternating direction are given. Numerical given demonstrate accelerating behaviors over other related methods literature.