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pro vyhledávání: '"PINI, RITA"'
Autor:
Calogero, Andrea, Pini, Rita
In this paper we investigate the property of engulfing for $H$-convex functions defined on the Heisenberg group ${\mathbb{H}}^n$. Starting from the horizontal sections introduced by Capogna and Maldonado, we consider a new notion of section, called $
Externí odkaz:
http://arxiv.org/abs/2007.11068
Autor:
Calogero, Andrea, Pini, Rita
In this note we provide a simple proof of some properties enjoyed by convex functions having the engulfing property. In particular, making use only of results peculiar to convex analysis, we prove that differentiability and strict convexity are condi
Externí odkaz:
http://arxiv.org/abs/2007.08859
Autor:
Calogero, Andrea, Pini, Rita
Given a compact and H-convex subset $K$ of the Heisenberg group ${\mathbb H}$, with the origin $e$ in its interior, we are interested in finding a homogeneous H-convex function $f$ such that $f(e)=0$ and $f\bigl|_{\partial K}=1$; we will call this fu
Externí odkaz:
http://arxiv.org/abs/1807.00136
We consider a special form of parametric generalized equations arising from electronic circuits with AC sources and study the effect of perturbing the input signal on solution trajectories. Using methods of variational analysis and strong metric regu
Externí odkaz:
http://arxiv.org/abs/1801.03116
The aim of this paper is to show that every representative function of a maximal monotone operator is the Fitzpatrick transform of a bifunction corresponding to the operator. In this way we exhibit the relation between the recent theory of representa
Externí odkaz:
http://arxiv.org/abs/1507.08989
Akademický článek
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Autor:
Calogero, Andrea, Pini, Rita
In this paper we extend some classical results of Convex Analysis to the sub-Riemannian setting of the Heisenberg group. In particular, we provide a horizontal version of Minty's theorem concerning maximal H-monotone operators defined in the Heisenbe
Externí odkaz:
http://arxiv.org/abs/1310.2397
Various notions of condition numbers are used to study some sensitivity aspects of scalar optimization problems. The aim of this paper is to introduce a notion of condition number to study the case of a multiobjective optimization problem defined via
Externí odkaz:
http://arxiv.org/abs/1201.5795
Autor:
Calogero, Andrea, Pini, Rita
Given a real-valued function $c$ defined on the cartesian product of a generic Carnot group $\G$ and the first layer $V_1$ of its Lie algebra, we introduce a notion of $c$ horizontal convex ($c$ H-convex) function on $\G$ as the supremum of a suitabl
Externí odkaz:
http://arxiv.org/abs/1005.0975
Akademický článek
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