A. M. Pekar, S. S. Fedorovskii, “Convexity of <nobr>$N$</nobr>-Chebyshev sets on a normed plane”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, Number 4,Pages <nobr>3

Mathematics

Convexity of $N$-Chebyshev sets on a normed plane

A. M. Pekar^ab, S. S. Fedorovskii^ab

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Moscow Center for Fundamental and Applied Mathematics

Abstract: We describe normed planes in which all $N$-Chebyshev sets are convex.

Key words: metric $N$-projection, $N$-Chebyshev set, convexity, extreme points, points of smoothness, normed plane.

UDC: 517.982.256

Received: 29.05.2024

DOI: 10.55959/MSU0579-9368-1-66-4-1