The continuity of the Drop mapping

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2002 Italy Publisher:University of Auckland, Department of Mathematics, Auckland; New Zealand Mathematical Society, Auckland

Authors: MARTELLOTTI, Anna;

handle: 11391/160677

The continuity of the Drop mapping

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Abstract

Summary: We investigate the continuity of the map \((x,A)\mapsto D(x,A)\) (the drop generated by \(x\) and \(A)\) in a Banach space with respect to different hypertopologies, and give some results in the hyperspace of sets having the drop property.

Country

Italy

Related Organizations

University of Perugia
Italy

Keywords

drop property, Classical Banach spaces in the general theory, Drop Property; hyperspace topologies; Hausdorff metric; Mosco convergence, Set-valued maps in general topology

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