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- Title
EL TEOREMA DE LA FUNCIÓN ABIERTA PARA FUNCIONES MULTIVALUADAS CONVEXAS.
- Authors
Ximena Narváez, Diana; Restrepo, Guillermo
- Abstract
The usual open mapping theorem of Banach-Schauder affirms that every linear, continuous and surjective open mapping from a Banach Space into another, is open. This theorem originally proved by Banach in 1932, is proved again by R. Megginson in [5] using Zabreiko's lemma [10]. We will follow a similar aproach to prove that every multivalued function with closed values, convex, upper semicontinuos and surjective is an open mapping. Similar ideas are used to prove a closed graph theorem for a closed convex process in terms of lower semicontinuity.
- Publication
Revista de Ciencias, 2013, Vol 17, Issue 2, p67
- ISSN
0121-1935
- Publication type
Article