Calculus rules for proximal {\epsilon}-subdifferentials and inexact proximity operators for weakly convex functions
Optimization and Control
2024-04-24 v2 Numerical Analysis
Numerical Analysis
Abstract
We investigate inexact proximity operators for weakly convex functions. To this aim, we derive sum rules for proximal {\epsilon}-subdifferentials, by incorporating the moduli of weak convexity of the functions into the respective formulas. This allows us to investigate inexact proximity operators for weakly convex functions in terms of proximal {\epsilon}-subdifferentials.
Keywords
Cite
@article{arxiv.2211.14525,
title = {Calculus rules for proximal {\epsilon}-subdifferentials and inexact proximity operators for weakly convex functions},
author = {Ewa Bednarczuk and Giovanni Bruccola and Gabriele Scrivanti and The Hung Tran},
journal= {arXiv preprint arXiv:2211.14525},
year = {2024}
}