Geodesic
Notes on approximation in the Musielak-Orlicz spaces of vector multifunctions
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 81-93

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We introduce the spaces $M^{1}_{Y,\varphi }$, $M^{o,n}_{Y,\varphi }$, $\tilde{M}^{o}_{Y,\varphi }$ and $M^{o}_{Y,\bold d,\varphi }$ of multifunctions. We prove that the spaces $M^{1}_{Y,\varphi }$ and $M^{o}_{Y,\bold d,\varphi }$ are complete. Also, we get some convergence theorems.
Classification : 28B20, 46A80, 46E30, 46E99
Keywords: Musielak-Orlicz space; multifunction; modular space of multifunctions; integral operator; modular approximation 
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     title = {Notes on approximation in the {Musielak-Orlicz} spaces of vector multifunctions},
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Kasperski, Andrzej. Notes on approximation in the Musielak-Orlicz spaces of vector multifunctions. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 81-93. http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a8/