Product measurability and Scorza-Dragoni's type property
On compactness and connectedness of the paratingent
In this note we shall prove that for a continuous function , where , the paratingent of at is a non-empty and compact set in if and only if satisfies Lipschitz condition in a neighbourhood of . Moreover, in this case the paratingent is a connected set.
On superpositionally measurable semi-Carathéodory multifunctions
For multifunctions , measurable in the first variable and semicontinuous in the second one, a relation is established between being product measurable and being superpositionally measurable.
On superpositional measurability of semi-Carathéodory multifunctions
It is shown that product weakly measurable lower weak semi-Carathéodory multifunction is superpositionally measurable.
Page 1