Uniform structures on hyperspaces and uniform topologies on spaces of multifunctions

• Autorzy: Del Prete I. , Di Iorio M. , Holá Ľ.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to study uniform and topological structures on spaces of multifunctions. Uniform structures on hyperspaces compatible with the Fell, the Wijsman and the Hausdorff metric topology respectively are studied and the links between them are explored. Topologies induced by the above uniformities on spaces of multifunctions are considered and compared. Also connections between uniform convergence of multifunctions and their equi-semicontinuity are investigated.

Słowa kluczowe

EN

multifunction; Fell topology; Wijsman topology; Hausdorff metric topology; hyperspace uniformity

PL

multifunkcje; topologia Fella; topologia Wijsmana

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 4
• Strony: 985--1000
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Del Prete I.

• Dipartimento di Matematica e Applicazioni, Università Degli Studi di Napoli, Via Claudio 21, 80125 Napoli, Italy

autor

Di Iorio M.

• Dipartimento di Matematica e Applicazioni, Università Degli Studi di Napoli, Via Claudio 21, 80125 Napoli, Italy

autor

Holá Ľ.

• Academy of Sciences, Institute of Mathematics, Štefánikova 49, 81473, Bratislava, Slovakia

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