Tightness conditions and integrability of the sequential weak upper limit of a sequence of multifunctions

DOI10.1007/978-4-431-77784-7_2zbMath1188.28012OpenAlexW1563034662MaRDI QIDQ3400023

Charles Castaing, Hess, Christian, M. Saadoune

Publication date: 18 January 2010

Published in: Advances in Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-77784-7_2

zbMATH Keywords

measurable selectiontightness conditionsintegrable selectionFatou's Lemma in several dimensionsupper limit of a sequence of multifunctions

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Vector-valued set functions, measures and integrals (28B05)

Related Items (4)

Some various convergence results for normal integrands ⋮ On the Integration of Fuzzy Level Sets ⋮ Some applications of Birkhoff-Kingman ergodic theorem ⋮ Law of large numbers and Ergodic Theorem for convex weak star compact valued Gelfand-integrable mappings

Cites Work

• Weak sequential convergence in \(L_ 1(\mu,X)\) and an approximate version of Fatou's lemma
• Truncation methods applied to problems of weak or strong convergence in \(L^ 1\)
• Convex analysis and measurable multifunctions
• Integrals, conditional expectations, and martingales of multivalued functions
• Measurability and integrability of the weak upper limit of a sequence of multifunctions
• \(\mathfrak G\)-uniform scalar integrability and strong laws of large numbers for Pettis integrable functions with values in a separable locally convex space
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