@Article{Denkowska2013, author = "Denkowska, Anna", title = "Contractive and optimal sets in Musielak-Orlicz spaces with a smoothness condition", journal = "Opuscula Math.", year = "2013", volume = "33", number = "4", pages = "667--684", doi = "http://dx.doi.org/10.7494/OpMath.2013.33.4.667", url = "http://dx.doi.org/10.7494/OpMath.2013.33.4.667", abstract = "In this paper we use our recent generalization of a theorem of Jamison-Kamińska-Lewicki (characterizing one-complemented subspaces in Musielak-Orlicz sequence spaces defined by Musielak-Orlicz functions satisfying a general smoothness condition) in order to compare contractive and optimal sets in finite-dimensional Musielak-Orlicz \(\ell^{(n)}_\Phi\) spaces in the spirit of Kamińska-Lewicki. We also give an example illustrating the importance of the smoothness assumptions in our theorem.", keywords = "Musielak-Orlicz sequence spaces, one-complemented subspaces, contractive and optimal sets", issn = "1232-9274" }