An Extension of the Birkhoff Integrability for Multifunctions

An Extension of the Birkhoff Integrability for Multifunctions

A comparison between a set-valued Gould type and simple Birkhoff integrals of bf ( X )-valued multifunctions with respect to a non-negative set function is given. Relationships among them and Mc Shane multivalued integrability is given under suitable assumptions.

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Veröffentlicht in:Mediterranean journal of mathematics 2016-10, Vol.13 (5), p.2551-2575
Hauptverfasser: Candeloro, Domenico, Croitoru, Anca, Gavriluţ, Alina, Sambucini, Anna Rita
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:A comparison between a set-valued Gould type and simple Birkhoff integrals of bf ( X )-valued multifunctions with respect to a non-negative set function is given. Relationships among them and Mc Shane multivalued integrability is given under suitable assumptions.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-015-0639-7