Buscar
Mostrando ítems 1-10 de 20
Characterization of Filippov representable maps and Clarke subdifferentials
(Springer, 2020)
The ordinary differential equation x˙ (t) = f(x(t)), t ≥ 0, for f measurable, is not sufficiently
regular to guarantee existence of solutions. To remedy this we may relax the problem by
replacing the function f with its ...
Linear structure of functions with maximal Clarke subdifferential ∗
(Society for Industrial and Applied Mathematics Publications, 2019)
In this paper we establish that the set of Lipschitz functions f : U → R (U a nonempty open subset of ` 1 d ) with maximal Clarke subdifferential contains a linear subspace of uncountable dimension (in particular, an ...
Subdifferential characterization of probability functions under Gaussian distribution
(Springer Verlag, 2019)
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature and Mathematical Optimization Society. Probability functions figure prominently in optimization problems of engineering. They may be nonsmooth even if all input ...
Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions
(PERGAMON-ELSEVIER SCIENCE LTD, 2006-08-15)
Several kinds of behaviors of extended-real-valued lower semicontinuous functions are known to be equivalent to certain appropriate conditions in terms of the Clarke subdifferential. The paper provides a systematic study ...
A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results
(World Scientific, 2021-12)
The goal of this paper is to investigate a new class of elliptic mixed boundary value problems involving a nonlinear and nonhomogeneous partial differential operator (p,q)-Laplacian, and a multivalued term represented by ...
Clarke subdifferential, Pareto-Clarke critical points and descent directions to multiobjective optimization on Hadamard manifolds
(SpringerCH, 2021-12-08)
In this paper, we aim to complement our work reported in [20] by showing some further properties and results on Clarke subdifferential, Pareto-Clarke critical points and descent directions on Hadamard manifolds. These tools ...
Pathological subgradient dynamics
(Siam, 2020)
We construct examples of Lipschitz continuous functions, with pathological subgradient dynamics in both continuous and discrete time. In both settings, the iterates generate bounded trajectories and yet fail to detect any ...
Método del punto proximal para minimizar funciones cuasi-convexas usando el subdiferencial de Clarke
(Universidad Nacional del CallaoPE, 2011)
En este trabajo proponemos una extensión del método del punto proximal para minimizar funciones cuasi-convexas sin restricciones usando el subdiferencial de Clarke. Resolveremos problemas de optimización que tiene la forma: ...
Método del punto proximal para minimizar funciones cuasi-convexas usando el subdiferencial de Clarke
(Universidad Nacional del CallaoPE, 2011)
En este trabajo proponemos una extensión del método del punto proximal para minimizar funciones cuasi-convexas sin restricciones usando el subdiferencial de Clarke. Resolveremos problemas de optimización que tiene la forma: ...
Análise não suave e aplicações em otimização
(Universidade Estadual Paulista (Unesp), 2011-02-28)
Neste trabalho, estamos interessados em apresentar uma abordagem relacionando a análise não suave com a otimização. Primeiramente, é realizado um estudo sobre conceitos da análise não suave, como cones normais, cone tangente ...