On differentiability of strongly α(·)-paraconvex functions in non-separable Asplund spaces
S. Rolewicz
Studia Mathematica, Tome 166 (2005), p. 235-244 / Harvested from The Polish Digital Mathematics Library
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In Rolewicz (2002) it was proved that every strongly α(·)-paraconvex function defined on an open convex set in a separable Asplund space is Fréchet differentiable on a residual set. In this paper it is shown that the assumption of separability is not essential.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:284927 
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S. Rolewicz. On differentiability of strongly α(·)-paraconvex functions in non-separable Asplund spaces. Studia Mathematica, Tome 166 (2005) pp. 235-244. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm167-3-5/