TY - JOUR
AU - Motyl, Jerzy
PY - 2016/04/12
Y2 - 2024/04/15
TI - Carathéodory convex selections of set-valued functions in Banach lattices
JF - Topological Methods in Nonlinear Analysis
JA - TMNA
VL - 43
IS - 1
SE -
DO -
UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2014.001
SP - 1 - 10
AB - Let $T$ be a measurable space, $X$ a Banach space while $Y$ a Banach lattice. We consider theclass of ``upper separated'' set-valued functions $F\colon T\times X \rightarrow 2^{Y}$ and investigate the problem ofthe existence of Carathéodory type selection, that is, measurable in the first variable and order-convex in the second variable.
ER -