Carlo Alberto De Bernardi

collaborators

3 papers

math.OC2020

Regularity and stability for a convex feasibility problem

Enrico Miglierina, Carlo A. De Bernardi

Let us consider two sequences of closed convex sets ${A_{n}}$ and ${B_{n}}$ converging with respect to the Attouch-Wets convergence to $A$ and $B$ , respectively. Given a starting p…

math.FA2020

Star-finite coverings of Banach spaces

Carlo Alberto De Bernardi, Jacopo Somaglia, Libor Vesely

We study star-finite coverings of infinite-dimensional normed spaces. A family of sets is called star-finite if each of its members intersects only finitely many other members of t…

math.OC2018

Stability of a convex feasibility problem

Carlo Alberto De Bernardi, Enrico Miglierina, Elena Molho

The 2-sets convex feasibility problem aims at finding a point in the intersection of two closed convex sets $A$ and $B$ in a normed space $X$ . More generally, we can consider the p…