Carathéodory convex selections of set-valued functions in Banach lattices
Słowa kluczowe
Banach lattice, upper separated multifunction, Carathéodory selection, convex selectionAbstrakt
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.Pobrania
Opublikowane
2016-04-12
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1.
MOTYL, Jerzy. Carathéodory convex selections of set-valued functions in Banach lattices. Topological Methods in Nonlinear Analysis [online]. 12 kwiecień 2016, T. 43, nr 1, s. 1–10. [udostępniono 22.7.2024].
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