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Notes on approximation in the Musielak-Orlicz sequence spaces of multifunctions. (English) Zbl 0832.54021

A Musielak-Orlicz sequence space \(X_\varphi\) of compact-valued multifunctions is introduced and shown to be complete. Using some boundedness assumptions, the author considers approximation in \(X_\varphi\) by different families of \(X_\varphi\)-operators.
Reviewer: H.-A.Klei (Paris)

MSC:

54C60 Set-valued maps in general topology
28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections
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