On differentiability of strongly $\alpha (\cdot )$-paraconvex functions in non-separable Asplund spaces
Volume 167 / 2005
Studia Mathematica 167 (2005), 235-244
MSC: 46N10, 52A01.
DOI: 10.4064/sm167-3-5
Abstract
In Rolewicz (2002) it was proved that every strongly $\alpha (\cdot )$-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.
