On Extremum Problems Having Infinite Dimensional Image From Lagrangian Multipliers to Selection Multipliers.
On Extremum Problems Having Infinite Dimensional Image From Lagrangian Multipliers to Selection Multipliers.
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Date
04-2009
Auteurs
MADANI Khaldia
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Éditeur
Université Oran 1 Ahmed Ben Bella
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.
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Mots-clés
Optimality Conditions, Quasi-Generalized Selection, Selection Multipliers, Lagrangian Multipliers, Dual problem, Image Space Analysis AMS Classification : 90C,65K