We investigate the continuity of the map (x,A) --> D(x,A) (the drop generated by x and A) in a Banach space both separately with respect to each variable, and globally; as for the set valued variable, we consider different hypertopologies (Hausdorff metric, the Mosco topology and the weak topology), and we give some results in the hyperspace of stes having the Drop property.
The continuity of the Drop mapping
MARTELLOTTI, Anna
2002
Abstract
We investigate the continuity of the map (x,A) --> D(x,A) (the drop generated by x and A) in a Banach space both separately with respect to each variable, and globally; as for the set valued variable, we consider different hypertopologies (Hausdorff metric, the Mosco topology and the weak topology), and we give some results in the hyperspace of stes having the Drop property.File in questo prodotto:
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