16 citations · 24 across the 8 of their papers we have counts for
10 papers
The engulfing property for sections of convex functions in the Heisenberg group and the associated quasi--metric
Andrea Calogero, Rita Pini
In this paper we investigate the property of engulfing for -convex functions defined on the Heisenberg group . Starting from the horizontal sections introduced b…
The Engulfing Property from a Convex Analysis Viewpoint
Andrea Calogero, Rita Pini
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 an…
On the -cone-functions for H-convex sets
Andrea Calogero, Rita Pini
Given a compact and H-convex subset of the Heisenberg group , with the origin in its interior, we are interested in finding a homogeneous H-convex function …
Existence and continuity of solution trajectories of generalized equations with application in electronics
Iman Mehrabinezhad, Rita Pini, Amos Uderzo
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 traj…
On the local boundedness of maximal H--monotone operators
Z. M. Balogh, A. Calogero, R. Pini
In this paper we prove that maximal H-monotone operators whose domain is all the Heisenberg group are locally bounded. This implies that they are…
Representative functions of maximal monotone operators and bifunctions
Monica Bianchi, Nicolas Hadjisavvas, Rita Pini
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 th…