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A characterization of convex cones of matrices with constant regular inertia
(Elsevier Science IncNew YorkEUA, 2000)
An intrinsic characterization of free disposal hypothesis
(ELSEVIER, 2006-09)
In this work by using nonsmooth analysis techniques we provide a geometric characterization of both the free disposal hypothesis for production sets and the strict monotonicity condition for preference relations even for ...
Inclusiones Diferenciales con Conos Normales de Conjuntos no Regulares en Espacios de HilbertDifferential Inclusions involving normal cones of nonregular sets in Hilbert spacesInclusiónes diferenciales con conos normales de conjuntos no regulares en espaciós de hilbertdifferential inclusións involving normal cones of nonregular sets in hilbert spaces
(2017)
This thesis is dedicated to the study of differential inclusions involving normal cones of nonregular sets in Hilbert spaces. In particular, we are interested in the sweeping process and its variants. The sweeping process ...
New tour on the subdifferential of supremum via finite sums and suprema
(Springer, 2021)
This paper provides new characterizations for the subdifferential of the pointwise supremum of an arbitrary family of convex functions. The main feature of our approach is that the normal cone to the effective domain of ...
Lipschitz Continuity of Convex Functions
(Springer, 2020)
We provide some necessary and sufficient conditions for a proper lower semicontinuous convex function, defined on a real Banach space, to be locally or globally Lipschitz continuous. Our criteria rely on the existence of ...
Absence of ocular interaction in flicker ERG responses reflecting cone opponent and luminance signals
(SPRINGER, 2010)
The aim of the study was to investigate whether there is an ocular interaction in the flicker ERG responses reflecting luminance and cone opponency in normal human subjects. Flicker ERGs were recorded from one dilated eye ...
Avaliação da função visual em pacientes com distrofia de cones
(Conselho Brasileiro de Oftalmologia, 2003-06-01)
PURPOSE: To evaluate visual function by full-field electroretinography (ERG) and visual acuity in patients with cone dystrophy. METHODS: 23 (7 male and 16 female) patients with suspicion of cone dystrophy were evaluated ...
Smoothness of the metric projection onto nonconvex bodies in Hilbert spaces
(Academic Press Inc., 2018)
Based on a fundamental work of R. B. Holmes from 1973, we study differentiability properties of the metric projection onto prox-regular sets. We show that if the set is a nonconvex body with a Cp+1-smooth boundary, then ...
Regularization of perturbed state-dependent sweeping processes with nonregular sets
(Yokohama Publishers, 2018)
In this paper, we prove the convergence strongly pointwisely (up to a subsequence) of Moreau-Yosida regularization of perturbed state-dependent sweeping process with nonregular (subsmooth and positively alpha-far) sets in ...