On continuous convergence of nets of multifunctions

• Autorzy: Przemski M.
• Języki publikacji: EN

Abstrakty

EN

This paper expands the classical concept of the continuous convergence of nets of multifunctions introduced by Cao, Reilly and Vamanamurthy in [7]. We introduce some new types of properties of convergence of such nets which guarantee the upper or lower semicontinuity of the limit multifunction. Furthermore, we obtain some analogous results concerning generalized continuity properties of multifunctions.

Słowa kluczowe

EN

multifunction; topological convergence; graph convergence; continuous convergence; quasiuniform convergence

PL

wielofunkcyjność; zależność topologiczna; wykres zależności; zbieżność ciągła

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 1
• Strony: 181--200
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Przemski M.

• Warsaw University of Life Sciences, Department of Applied Mathematics, ul. Nowoursynowska 159 bud. 34, 02-776 Warsaw, Poland

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