On differentiability of strongly α(·)-paraconvex functions in non-separable Asplund spaces

• Autorzy: S. Rolewicz
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 52A01: Axiomatic and generalized convexity
• 46N10: Applications in optimization, convex analysis, mathematical programming, economics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 167
• Numer: 3
• Strony: 235-244

Daty

wydano

2005

Twórcy

autor

S. Rolewicz

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 21, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm167-3-5