In this paper the following result is proved: Let F be a multifunction with compact and convex values having nonempty interior, from a topological space into a finite-dimensional Banach space. Then F is continuous at a point if and only if the boundary- multifunction is lower semicontinuous in this point.
Caratterizzazione della semicontinuità inferiore della frontiera di una multifunzione in spazi normati
CARDINALI, Tiziana;
1990
Abstract
In this paper the following result is proved: Let F be a multifunction with compact and convex values having nonempty interior, from a topological space into a finite-dimensional Banach space. Then F is continuous at a point if and only if the boundary- multifunction is lower semicontinuous in this point.File in questo prodotto:
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