New Characterizations of Strong Convexity
Metric Geometry
2025-01-15 v1
Abstract
Parallel to the main results of [13] and [14], which explore the equivalence between prox-regularity, the exterior sphere condition, and -convexity, we present novel characterizations of the -strong convexity property, namely, of the sets that can be expressed as the intersection of closed balls with the same radius .
Cite
@article{arxiv.2501.07693,
title = {New Characterizations of Strong Convexity},
author = {Chadi Nour and Jean Takche},
journal= {arXiv preprint arXiv:2501.07693},
year = {2025}
}