Generalized directional derivatives for locally Lipschitz functions which satisfy Leibniz rule

• Autorzy: Grzybowski J. , Pallaschke D. , Urbański R.
• Języki publikacji: EN

Abstrakty

EN

In this paper a concept of a generalized directional derivative, which satisfies Leibniz rule is proposed for locally Lipschitz functions, defined on an open subset of a Banach space. Although Leibniz rule is of less importance for a subdifferential calculus, it is of course of some theoretical interest to know about the existence of generalized directional derivatives which satisfy Leibniz rule. The proposed concept of generalized directional derivatives is adopted from the work of D. R. Sherbert (1964) who determined all point derivations for the Banach algebra of Lipschitz functions over a complete metric space.

Słowa kluczowe

EN

generalized directional derivatives; point derivations; Lipschitz functions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2007
• Tom: Vol. 36, no 4
• Strony: 911--924
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Grzybowski J.

autor

Pallaschke D.

autor

Urbański R.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Umultowska 87, PL-61-614 Poznań, Poland,

Bibliografia

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