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
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.
@article{BUMI_2006_8_9B_3_a7,
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},
year = {2006},
volume = {Ser. 8, 9B},
number = {3},
zbl = {1177.54012},
mrnumber = {2274117},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a7/}
}
TY - JOUR AU - Caterino, Alessandro AU - Ceppitelli, Rita AU - Holà, Ľubica TI - Well-posedness of optimization problems and Hausdorff metric on partial maps JO - Bollettino della Unione matematica italiana PY - 2006 SP - 645 EP - 656 VL - 9B IS - 3 UR - http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a7/ LA - en ID - BUMI_2006_8_9B_3_a7 ER -
%0 Journal Article %A Caterino, Alessandro %A Ceppitelli, Rita %A Holà, Ľubica %T Well-posedness of optimization problems and Hausdorff metric on partial maps %J Bollettino della Unione matematica italiana %D 2006 %P 645-656 %V 9B %N 3 %U http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a7/ %G en %F BUMI_2006_8_9B_3_a7
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/