4 papers
Optimal Control of Sweeping Processes with Nonsmooth Moving Sets: A Numerical Algorithm
Chadi Nour
This paper extends the numerical method introduced by de Pinho et al. [22] and later developed in Nour and Zeidan [33, 37] to the nonautonomous case where the nonsmooth sweeping se…
Validity of the Strong Version of the Union of Uniform Closed Balls Conjecture in the Plane
Chadi Nour, Jean Takche
We prove the validity of the strong version of the union of uniform closed balls conjecture, formulated in 2011 as [4, Conjecture 2.5], in the plane.
Spherically Supported Property and the Exterior Sphere Condition with Infinite Radius
Chadi Nour
We present several new characterizations of the spherically supported geometric property introduced in [19], emphasizing its connection with the exterior sphere condition with infi…
New Characterizations of Strong Convexity
Chadi Nour, Jean Takche
Parallel to the main results of [13] and [14], which explore the equivalence between prox-regularity, the exterior sphere condition, and -convexity, we present novel characteriz…