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Constrained extremum problems with infinite dimensional image. Selection and saddle point
Authors:K Madani  G Mastroeni  A Moldovan
Institution:(1) Department of Mathematics, University of Oran, Bp 1523 El Menouar, Oran, Algeria;(2) Department of Mathematics, University of Pisa, Largo B. Pontecorvo 5, Pisa, 56127, Italy
Abstract:The paper deals with Image Space Analysis for constrained extremum problems having infinite dimensional image. It is shown that the introduction of selection for point- to-set maps and of quasi-multipliers allows one to establish sufficient optimality conditions for problems, where the classic ones fail.
Keywords:Optimality conditions  Saddle point  Multipliers  Quasi-multipliers  Image Space Analysis
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