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arXiv · 2501.07693

New Characterizations of Strong Convexity

Chadi Nour·Jean Takche
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Abstract

Parallel to the main results of [13] and [14], which explore the equivalence between prox-regularity, the exterior sphere condition, and $S$-convexity, we present novel characterizations of the $r$-strong convexity property, namely, of the sets that can be expressed as the intersection of closed balls with the same radius $r>0$.

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Chadi Nour, Jean Takche. 2025-01-13. New Characterizations of Strong Convexity. https://arxiv.org/abs/2501.07693

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