Proximal determination of convex functions
Optimization and Control
2020-07-30 v3
Abstract
We provide comparison principles for convex functions through its proximal mappings. Consequently, we prove that the norm of the proximal operator determines a convex the function up to a constant. A new characterization of Lipschitzianity in terms of the proximal operator is given.
Cite
@article{arxiv.2007.03798,
title = {Proximal determination of convex functions},
author = {Emilio Vilches},
journal= {arXiv preprint arXiv:2007.03798},
year = {2020}
}