The object of this paper is the Hausdorff metric topology on partial maps with closed domains. This topological space is denoted by (P,H). 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 (P,H) is investigated.
Well-posedness of optimization problems and Hausdorff metric on partial maps
CATERINO, Alessandro;
2006
Abstract
The object of this paper is the Hausdorff metric topology on partial maps with closed domains. This topological space is denoted by (P,H). 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 (P,H) is investigated.File in questo prodotto:
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