A Decomposition of Henstock-Kurzweil-Pettis Integrable Multifunctions

DOI10.1007/978-3-0346-0211-2_16zbMath1248.28019OpenAlexW2158495204MaRDI QIDQ2909319

Luisa Di Piazza, Kazimierz Musiał\

Publication date: 30 August 2012

Published in: Vector Measures, Integration and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0346-0211-2_16

zbMATH Keywords

multifunctionsKurzweil-Henstock integralsupport functionselectorsKurzweil-Henstock-Pettis integralPettis set-valued integralDenjoy-Khintchine-Pettis integral

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (9)

Gauge integrals and selections of weakly compact valued multifunctions ⋮ A decomposition theorem for Banach space valued fuzzy Henstock integral ⋮ Some new results on integration for multifunction ⋮ Relations among Henstock, McShane and Pettis integrals for multifunctions with compact convex values ⋮ Relations among gauge and Pettis integrals for \(cwk(X)\)-valued multifunctions ⋮ A decomposition theorem for the fuzzy Henstock integral ⋮ Henstock-Kurzweil-Pettis integrability of compact valued multifunctions with values in an arbitrary Banach space ⋮ An extension of the Birkhoff integrability for multifunctions ⋮ Integration of multifunctions with closed convex values in arbitrary Banach spaces

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