Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1994-12-31
On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued OperatorsS. Rolewicz and Song Wen (1) Polish Academy of Sciences, Warszawa, Poland
(2) Harbin Normal University, China
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.
Keywords: Nemytski set-valued operators, lower semicontinuity, metric upper semicontinuity, superposition measurable set-valued operators
Rolewicz S., Wen Song: On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators. Z. Anal. Anwend. 13 (1994), 739-748. doi: 10.4171/ZAA/480