Abstract
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.
Citation
Jerzy Motyl. "Carathéodory convex selections of set-valued functions in Banach lattices." Topol. Methods Nonlinear Anal. 43 (1) 1 - 10, 2014.
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