On lower semicontinuity of metric upper semicontinuity of Nemytskij set- valued operators

DOI10.4171/ZAA/480zbMath0810.47062OpenAlexW748071158MaRDI QIDQ1340801

Song Wen, Stefan Rolewicz

Publication date: 18 April 1995

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/480

zbMATH Keywords

Nemytskij operatormodular spaceslower or upper semi-continuitysup-measurable multifunction

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Set-valued operators (47H04) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

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