Paraconvex analysis

• Autorzy: Rolewicz S.
• Języki publikacji: EN

Abstrakty

EN

In the theory of optimization an essential role is played by the differentiability of convex functions. In this paper we shall try to extend the results concerning differentiability to a larger class of functions called strongly alpha(.)-paraconvex. Let (X, (|.||) be a real Banach space. Let f(x) be a real valued strongly alpha(.)-paraconvex function denned on an open convex subset Omega [is a subset is] X, i.e. f(tx+(1-t)y)

Słowa kluczowe

EN

alpha(.)-paraconvex functions; Frechet differentiability

PL

funkcja parawypukła; różniczkowalność Frecheta

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2005
• Tom: Vol. 34, no 3
• Strony: 951--965
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Rolewicz S.

• Institute of Mathematics of the Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa 10. P.O.Box 21, Poland,

Bibliografia

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• Rolewicz, S. (2000) On α(·)-paraconvex and strongly α(·)-paraconvex functions. Control and Cybernetics 29, 367-377.
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