Geodesic
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 provenant de la source Biblioteca Digitale Italiana di Matematica

The object of this paper is the Hausdorff metric topology on partial maps with closed domains. This topological space is denoted by $(\mathcal{P}, H_\rho)$. An equivalence of well-posedness of constrained continuous problems is proved. By using the completeness of the Hausdorff metric on the space of usco maps with moving domains, the complete metrizability of $(\mathcal{P}, H_\rho)$ is investigated. 
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     author = {Caterino, Alessandro and Ceppitelli, Rita and Hol\`a, \v{L}ubica},
     title = {Well-posedness of optimization problems and {Hausdorff} metric on partial maps},
     journal = {Bollettino della Unione matematica italiana},
     pages = {645--656},
     publisher = {mathdoc},
     volume = {Ser. 8, 9B},
     number = {3},
     year = {2006},
     zbl = {1177.54012},
     mrnumber = {2274117},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a7/}
}
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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. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a7/