Using the Rådström-Hörmander theorem on embedding of the hyperspace of closed convex sets in a Banach space, we prove multivalued versions of some results known for real functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-3-3, author = {Anna Kucia}, title = {Applications of the R\aa dstr\"om-H\"ormander Embedding Theorem to Multifunctions}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {53}, year = {2005}, pages = {259-271}, zbl = {1112.26024}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-3-3} }
Anna Kucia. Applications of the Rådström-Hörmander Embedding Theorem to Multifunctions. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) pp. 259-271. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-3-3/