We establish, in infinite dimensional Banach space, a nonconvex separation property for general closed sets that is an extension of Hahn-Banach separation theorem. We provide some consequences in optimization, in particular the existence of singular multipliers and show the relation of our...

IN this paper firstly, we obtain convergence results for a sequence of minimal elements of sets under assumptions of minimal character. Then, we present similar results for suitable notions of approximate minimal elements of sets.

Apres un rappel synthetique des differents concepts d'exogeneite dans les cadres stationnaire et non stationnaire (predetermination, exogeneite stricte, exogeneite faible, exogeneite forte, super exogeneite, exogeneite de cointegration), nous examinons les conditions d'exogeneite faible...

We present a new Fair Queuing policy adapted to low-bandwidth flows, and preventing discrepancy which is encountered under almost all of the existing Fair Queuing policies. Unlike Packet-by-packet Generalized Processos Sharing PGPS and its version Worst-case Fair, Fair Queuing WF2Q which...

In a first time we draw a rough shape of a general formal framework for polynomial approximation theory which encompasses the existing one by allowing the expression of new types of results. We show how this framework incorporates all the existing approximation results and, moreover, how new...

Lexical parsing is the whole set of techniques to increase from a raw text to a sequence of tagged words ; these tags are morphological and grammatical information. Lexical parsing generally uses an electronic dictionary. But a few of them accommodate themselves to proper nouns that are a...

Une methodologie alternative aux modeles multicriteres fondes sur l'etude economique et financiere de la firme est proposee afin d'estimer le risque de defaut des entreprises et d'elaborer un indicateur du risque de faillite. Nous recourons a une methode de Gestion Actif - Passif d'estimation...

En traitement automatique de la langue naturelle, l'analyse lexicale d'un texte est faite a partir de dictionnaires electroniques. Ceux-ci comportent tres peu de Noms Propres. Un travail de collecte des toponymes (noms de lieux) et gentiles (noms d'habitants) pour la France a ete mene. 55508...

In this paper, we study almost periodic (a.p.) solutions of discrete dynamical systems. We first adapt some results on a.p. differential equations to a.p. difference equations, on the link between boundedness of solutions and existence of a.p. solutions.