Convexity of out-Chebyshev sets

Authors

• Lomonosov Moscow State University, Moscow, Russia
• Alexey R. Alimov
• Niyazi A. Ilyasov
• Institute of Mathematics and Mechanics, Baku, Azerbaijan

Page

231-236

Abstract

A set is an out-Chebyshev set if any point lying at a positive distance from this set has a unique best approximant in this set. We extend the classical Berdyshev– Brøndsted–Brown theorem on convexity of Chebyshev sets in spaces of dimension 4 to the case of out-Chebyshev sets.

Recommended Citation

Lomonosov Moscow State University, Moscow, Russia; R. Alimov, Alexey; A. Ilyasov, Niyazi; and Institute of Mathematics and Mechanics, Baku, Azerbaijan (2025) "Convexity of out-Chebyshev sets," Baku Mathematical Journal: Vol. 4: Iss. 2, Article 7.
DOI: 10.32010/j.bmj.2025.16
Available at: https://www.bakumathj.org/home/vol4/iss2/7