35 citations · 70 across the 4 of their papers we have counts for
4 papers
Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order
Maxim V. Balashov, Dušan Repovš
We prove that in the Hilbert space every uniformly convex set with modulus of convexity of the second order at zero is an intersection of closed balls of fixed radius. We also obta…
Polyhedral approximations of strictly convex compacta
Maxim V. Balashov, Dušan Repovš
We consider polyhedral approximations of strictly convex compacta in finite dimensional Euclidean spaces (such compacta are also uniformly convex). We obtain the best possible esti…
Uniform convexity and the splitting problem for selections
Maxim V. Balashov, Dušan Repovš
We continue to investigate cases when the Repovš-Semenov splitting problem for selections has an affirmative solution for continuous set-valued mappings. We consider the situation…
On the splitting problem for selections
Maxim V. Balashov, Dušan Repovš
We investigate when does the Repovš-Semenov Splitting problem for selections have an affirmative solution for continuous set-valued mappings in finite-dimensional Banach spaces. We…