http://www.naun.org/journals/m3as/2008.htm, We propose a new perspective on the identification of linear dynamic system using structural similarity. The proposal consists in the meaningful exploration of each model, specifically behavior of the state variable.
The decomposition of the behavior of a state…

El propósito de este estudio es evaluar las concepciones sobre las tareas profesionales implicadas en la enseñanza de las Matemáticas en tres dimensiones: a) conocimiento de la disciplina Matemática, b) habilidades para la puesta en práctica de situaciones matemáticas y…

We study regularity properties of the subdifferential of proper lower semicontinuous convex functions
in Hilbert spaces. More precisely, we investigate the metric regularity and subregularity, the strong
regularity and subregularity of such a subdifferential. We characterize each of these properties…

A point of a convex set belongs to its end in a given direction
when this direction is not feasible at that point. This paper analyzes the
properties of the directional end of general convex sets and closed convex
sets…

We study stability properties of a proximal point algorithm for solving the inclusion 0 ∈ T (x) when T
is a set-valued mapping that is not necessarily monotone. More precisely we show that the convergence of
our algorithm is uniform,…

This paper analyzes inequality systems with an arbitrary number of proper lower semicontinuous convex
constraint functions and a closed convex constraint subset of a locally convex topological vector space.
More in detail, starting from well-known results on linear systems (with…

The evenly convex hull of a given set is the intersection of all the open halfspaces
which contain such set (hence the convex hull is contained in the evenly convex hull). This paper
deals with finite dimensional linear systems containing…

In a solvable linear optimization problem, a constraint is saturated if it is binding at a certain optimal solution and it is weakly saturated if it is binding at a proper subset of the optimal set. Nonsaturation and weak saturation…

This paper deals with the transmission of the main stability properties (lower and
upper semicontinuity in Berge sense, and closedness) from a given closed–convex-valued mapping to
its corresponding relative boundary and extreme point set mappings, and vice versa. The domain

Characterizations of the containment of a convex set either in an arbitrary convex set or in the complement of a finite union of convex sets (i.e., the set, described by reverse-convex inequalities) are given. These characterizations provide ways of verifying…