Radiality and semismoothness

• Autorzy: Jourani A.
• Języki publikacji: EN

Abstrakty

EN

We provide sufficient conditions for radiality and semismoothness. In general Banach spaces, we show that calmness ensures Dini-radiality as well as Dini-convexity of solution set to inequality systems. In finite dimensional spaces, we introduce the concept of Clarke-radiality and semismoothness of order m and show that each subanalytic set satisfies these properties. Similar properties are obtained for locally Lipschitzian subanalytic functions.

Słowa kluczowe

EN

Dini-radiality; Clarke-radiality; semismoothness; subdifferential; calmness; subanalytic set

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2007
• Tom: Vol. 36, no 3
• Strony: 669--680
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Jourani A.

• Universite de Bourgogne, Institut de Mathematiques de Bourgogne, CNRS 5584 B.P. 47870, 21078 Dijon, France,

Bibliografia

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