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Warianty tytułu
Języki publikacji
Abstrakty
Let X = (X, +) be an arbitrary topological group. A set-valued function F : X → n(Y) is called K-subquadratic if 2F(s) + 2F(t) ⊂ F(s + t) + F(s - t) + K, for all s, t ϵ X, where Y denotes a topological vector space and where K is a cone in this space. In this paper the K-continuity problem of multifunctions of this kind will be considered with respect to weakly K-boundedness. The case where Y = R N will be considered separately.
Rocznik
Tom
Strony
237--244
Opis fizyczny
Bibliogr. 6 poz.
Twórcy
autor
- Jan Długosz University in Częstochowa, Institute of Mathematics and Computer Science, al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland
autor
- Jan Długosz University in Częstochowa, Institute of Mathematics and Computer Science, al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland
Bibliografia
- [1] Kominek Z., Troczka-Pawelec K., Continuity of real valued subquadratic functions, Commentationes Mathematicae, Vol. 51, No. 1 (2011), 71-75
- [2] Nikodem K., K-convex and K-concave set-valued functions, Zeszyty Naukowe Politechniki Łódzkiej, nr 559, Łódź (1989).
- [3] Smajdor W., Subadditive and subquadratic set-valued functions, Prace Naukowe Uniwersytetu Śląskiego w Katowicach, nr 889, Katowice (1987).
- [4] Troczka-Pawelec K., Continuity of superquadratic set-valued functions, Scientific Issues Jan Długosz University in Częstochowa, Mathematics XVII, (2012).
- [5] Troczka-Pawelec K., Continuity of subquadratic set-valued functions, Demonstratio Mathematica, vol. XLV, no 4, (2012), 939-946.
- [6] Troczka-Pawelec K., K-subquadratic set-valued functions, manuscript.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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