Adaptation of Moreau-Yosida regularization to the modulus of convexity
Functional Analysis
2025-08-14 v2 Mathematical Physics
math.MP
Abstract
We study a generalization of Moreau-Yosida regularization that is adapted to the geometry of Banach spaces where the dual space is uniformly convex with modulus of convexity of power type. Important properties for regularized convex functions are given, in particular strong monotonicity of the subdifferential of their convex conjugate and H\"older-continuity of their gradient.
Keywords
Cite
@article{arxiv.2504.01772,
title = {Adaptation of Moreau-Yosida regularization to the modulus of convexity},
author = {Markus Penz and Andre Laestadius},
journal= {arXiv preprint arXiv:2504.01772},
year = {2025}
}