Carathéodory convex selections of set-valued functions in Banach lattices
Keywords
Banach lattice, upper separated multifunction, Carathéodory selection, convex selectionAbstract
Let $T$ be a measurable space, $X$ a Banach space while $Y$ a Banach lattice. We consider the class of ``upper separated'' set-valued functions $F\colon T\times X \rightarrow 2^{Y}$ and investigate the problem of the existence of Carathéodory type selection, that is, measurable in the first variable and order-convex in the second variable.Downloads
Published
2016-04-12
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MOTYL, Jerzy. Carathéodory convex selections of set-valued functions in Banach lattices. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 43, no. 1, pp. 1 - 10. [Accessed 19 September 2024].
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