On sup-measurability of multifunctions with some density properties

• Autorzy: Kwiecińska G.
• Języki publikacji: EN

Abstrakty

EN

The paper is concerned with sup measurability of a multifunction F defined on the product (…) of metric spaces with some differentiation bases. We introduce the lower (…) property and the upper (…) property of multifunction, where (…), and we prove sup measurabilty of F when it has the upper (…) property at (x, y) and F(x, ź) has the lower (…) property at y for every (…). Some application of this theorem to the existence of solutions of differential inclusions (…) is given.

Słowa kluczowe

EN

multifunctions; density with respect to the differentiation basis; approximate continuity; superpositional measurability; differential inclusions

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 4
• Strony: 821--833
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Kwiecińska G.

• Pomeranian Academy Institute Of Mathematics Arciszewskiego 22 A 76-200 Slupsk, Poland,

Bibliografia

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• [6] L. Oukhtite, S. Salhi, On generalized derivations of ÿ-prime rings, Afr. Diaspora J. Math. 5 (2006), 19–23.
• [7] E. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093–1100.
• [8] B. Zalar, On centralizers of semiprime rings, Comment. Math. Univ. Carolin. 32 (1991), 609-614.