In this note we obtain several relations between a multifunction F and the relative border-multifunction, concerning the lower semicontinuity (topological or metric), the upper semicontinuity (topological or metric) and the continuity (topological or metric). These results contain or extend various results stated by M. D. P. M. Marques in 1983, Moreover, we prove a sufficient condition that extends a proposition of M. Valadier.
Sulle semicontinuità inferiore e superiore di una multifunzione
CARDINALI, Tiziana;
1988
Abstract
In this note we obtain several relations between a multifunction F and the relative border-multifunction, concerning the lower semicontinuity (topological or metric), the upper semicontinuity (topological or metric) and the continuity (topological or metric). These results contain or extend various results stated by M. D. P. M. Marques in 1983, Moreover, we prove a sufficient condition that extends a proposition of M. Valadier.File in questo prodotto:
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