On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators

On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators

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.

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Veröffentlicht in:Zeitschrift für Analysis und ihre Anwendungen 1994-12, Vol.13 (4), p.739-748
Hauptverfasser: Rolewicz, S, Wen, Song
Format: Artikel
Sprache:eng
Schlagworte:
General topology
Measure and integration
Operator theory
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Zusammenfassung: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.
ISSN:0232-2064
1661-4534
DOI:10.4171/ZAA/480