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Various Lipschitz-like properties for functions and sets I: Directional derivative and tangential characterizations
(SIAM Publicationss, 2020)
In this work we introduce for extended real valued functions, defined on a Banach space X, the concept of K directionally Lipschitzian behavior, where K is a bounded subset of X. For different types of sets K (e.g., zero, ...
On multivalued fuzzy entropies
(Elsevier Science BvAmsterdamHolanda, 1997)
Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties
(2019-11-15)
This article deals with the algebra of gH-differentiable interval-valued functions. Specifically, we give conditions for the gH-differentiability of the sum and the gH-difference of two gH-differentiable interval-valued ...
Measuring the level sets of anisotropic homogeneous functions
(Springer, 2011-09)
In this note we investigate some basic properties of the level sets of functions which are homogeneous with respect to nonisotropic dilations. In particular we obtain a formula for the volume of the level sets in terms of ...
Implicit Euler Time-Discretization of a Class of Lagrangian Systems with Set-Valued Robust Controller
(Heldermann Verlag, 2016)
A class of Lagrangian continuous dynamical systems with set-valued controller and subjected to a perturbation force has been thoroughly studied in [3]. In this paper, we study the time discretization of these set-valued ...