# Convergence Results of Two-Step Inertial Proximal Point Algorithm

arXiv: https://arxiv.org/abs/2207.09668 · HTML: https://mlsanity.com/paper/2207.09668/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 20 Jul 2022.

## Built on by (most cited first, 1 of 1)

- [A Double Inertial Forward-Backward Splitting Algorithm With Applications to Regression and Classification Problems](https://mlsanity.com/paper/2505.03794/) (2025)

## Abstract (arXiv)

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) convergence rate of our proposed algorithm in non-ergodic sense. Applications of our results to various well-known convex optimization methods, such as the proximal method of multipliers and the alternating direction method of multipliers are given. Numerical results are given to demonstrate the accelerating behaviors of our method over other related methods in the literature.