×

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

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.

MSC:

46G05 Derivatives of functions in infinite-dimensional spaces
49J50 Fréchet and Gateaux differentiability in optimization
PDF BibTeX XML Cite
Full Text: Link