Strong and Weak Convexity of Closed Sets in a Hilbert Space

By V. Goncharov, G. Ivanov. 2017

19 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Marco S. Molinaro

In Computational Theory and Mathematics

1. Alexandre d'Aspremont
2. Sebastian Pokutta
3. Thomas Kerdreux
4. Marco S. Molinaro

In Mathematical Physics

1. Marco S. Molinaro
2. Alexandre d'Aspremont
3. Sebastian Pokutta
4. Thomas Kerdreux

Citations in the corpus

• Projection-Free Optimization on Uniformly Convex Sets (2020, background): “Actually, for the strongly convex case, it is equivalent to the global scaling inequality (Global-Scaling), see (Goncharov and Ivanov, 2017, Theorem 2.1 (g)).”
• Curvature of Feasible Sets in Offline and Online Optimization (2020, background): “Despite the extensive literature on strongly convex sets (see the survey [19]), we could not find a reference for this result.”