Well-posedness of optimization problems and Hausdorff metric on partial maps
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 645-656.

Voir la notice de l'article dans Biblioteca Digitale Italiana di Matematica

In questo lavoro si studiano alcune proprieta dello spazio $(\mathcal{P}, H_\rho)$ delle mappe parziali con dominio chiuso, munito della topologia della metrica di Hausdorff. Si prova un'equivalenza tra le definizioni di buona posizione secondo Tykhonov e Hadamard di problemi di minimizzazione continui e vincolati, dove la dipendenza continua è descritta dalla metrica di Hausdorff sulle mappe parziali. Lo studio della completezza della metrica di Hausdorff nello spazio delle multifunzioni usco con dominio variabile permette di individuare condizioni per la completa metrizzabilità di $(\mathcal{P}, H_\rho)$ 
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Caterino, Alessandro; Ceppitelli, Rita; Holà, Ľubica. Well-posedness of optimization problems and Hausdorff metric on partial maps. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 645-656. https://geodesic-test.mathdoc.fr/item/BUMI_2006_8_9B_3_a7/

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