# On Fej'er monotone sequences and nonexpansive mappings

arXiv: https://arxiv.org/abs/1507.05585 · HTML: https://mlsanity.com/paper/1507.05585/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 20 Jul 2015.

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

- [Towards An Efficient Approach for the Nonconvex ℓp Ball Projection: Algorithm and Analysis](https://mlsanity.com/paper/2101.01350/) (2021)

## Abstract (arXiv)

The notion of Fej'er monotonicity has proven to be a fruitful concept in fixed point theory and optimization. In this paper, we present new conditions sufficient for convergence of Fej'er monotone sequences and we also provide applications to the study of nonexpansive mappings. Various examples illustrate our results.