Title: On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators
Abstract: Sufficient conditions of lower semicontinuity and metric upper semicontinuity of Nemytskii set-valued operators $N\_F$ generated by a set-valued function $F: \Omega \times X \to 2^Y$, where $X$ and $Y$ are Orlicz-Musielak $F$-spaces are presented.