Mémoires de Fin d’Etudes
Etablissement
Université d’Oran1 - Ahmed Ben Bella
Affiliation
Département de Mathématique
Auteur
MADANI, Khaldia
Directeur de thèse
BELKHELFA Mohamed (Maitre de conférence)
Filière
Mathématiques
Diplôme
Doctorat
Titre
On extremum problems having infinite dimensional image from lagrangian multipliers to selection multipliers
Mots clés
Optimality Conditions; Quasi-Generalized Selection; Selection Multipliers; Lagrangian Multipliers; Dual problem; Image Space Analysis. AMS Classification : 90C,65K.
Résumé
This thesis deals with image space analysis for constrained extremum problems having an infinite-dimensional image. It is shown that the introduction of the selection for point-to-set maps and of quasi-selection multipliers functions allows one, firstly to recover the classic optimality conditions for problem of Calculus of Variations of geodesic type, to give optimality conditions for problems, where the classical approach fails. Finally, an approximation by a finite dimensional image problem is given and an enlargement of the set of Lagrangian multipliers is proposed.
Date de soutenance
2009
Cote
TH2891
Pagination
8-71F.
Format
30 cm
Notes
ABSTRACT AND KEYS WORDS.BIBLIOG.69-71F.
Statut
Soutenue