TY - JOUR
TI - On the inner and outer norms of sublinear mappings
AU - Aragón Artacho, Francisco Javier
AU - Dontchev, Asen L.
DA - 2007-03
UR - http://hdl.handle.net/10045/8058
AB - In this short note we show that the outer norm of a sublinear mapping F, acting
between Banach spaces X and Y and with dom F = X, is finite only if F is single-valued. This
implies in particular that for a sublinear multivalued mapping the inner and the outer norms cannot
be finite simultaneously.
KW - Set-valued mapping
KW - Convex graph
KW - Sublinear mapping
KW - Inner norm
KW - Outer norm
DO - 10.1007/s11228-006-0034-4
SN - 0927-6947 (Print)
PB - Springer Netherlands
ER -