Typical convexity (concavity) of Dini-Hadamard upper (lower) directional derivatives of functions on separable Banach spaces. (English) Zbl 1208.46043

Ioffe, A.

J. Convex Anal. 17, No. 3-4, 1019-1032 (2010).

The author extends and amplifies a few results on the typical properties of Dini–Hadamard-type directional derivatives. The modifications deal with expanding the class of functions under consideration and specifying the qualification of typicality.

Reviewer: S. S. Kutateladze (Novosibirsk)

MSC:

46G05	Derivatives of functions in infinite-dimensional spaces
49J50	Fréchet and Gateaux differentiability in optimization

Keywords:

directional derivative; porosity; subdifferential