Well-posedness of optimization problems and Hausdorff metric on partial maps

Alessandro Caterino; Rita Ceppitelli; Ľubica Holà

Bollettino dell'Unione Matematica Italiana (2006)

  • Volume: 9-B, Issue: 3, page 645-656
  • ISSN: 0392-4041

Abstract

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The object of this paper is the Hausdorff metric topology on partial maps with closed domains. This topological space is denoted by ( 𝒫 , H ρ ) . 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 ρ ) is investigated.

How to cite

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Caterino, Alessandro, Ceppitelli, Rita, and Holà, Ľubica. "Well-posedness of optimization problems and Hausdorff metric on partial maps." Bollettino dell'Unione Matematica Italiana 9-B.3 (2006): 645-656. <http://eudml.org/doc/289639>.

@article{Caterino2006,
abstract = {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.},
author = {Caterino, Alessandro, Ceppitelli, Rita, Holà, Ľubica},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {645-656},
publisher = {Unione Matematica Italiana},
title = {Well-posedness of optimization problems and Hausdorff metric on partial maps},
url = {http://eudml.org/doc/289639},
volume = {9-B},
year = {2006},
}

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 dell'Unione Matematica Italiana
DA - 2006/10//
PB - Unione Matematica Italiana
VL - 9-B
IS - 3
SP - 645
EP - 656
AB - 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.
LA - eng
UR - http://eudml.org/doc/289639
ER -

References

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