scientific article; zbMATH DE number 5042555

zbMath1101.28008MaRDI QIDQ5480083

Erik J. Balder, Anna Rita Sambucini

Publication date: 25 July 2006

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Young measureasymptotic coneGelfand integralFatou's lemma in several dimensions

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

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Gauge integrals and selections of weakly compact valued multifunctions ⋮ An exact Fatou lemma for Gelfand integrals: a characterization of the Fatou property ⋮ Law of large numbers and Ergodic Theorem for convex weak star compact valued Gelfand-integrable mappings ⋮ Probability functions generated by set-valued mappings: a study of first order information ⋮ An extension of the Birkhoff integrability for multifunctions ⋮ Integration of multifunctions with closed convex values in arbitrary Banach spaces ⋮ Subdifferential Calculus Rules for Possibly Nonconvex Integral Functions ⋮ Convergences in a dual space with applications to Fatou lemma ⋮ Tightness conditions and integrability of the sequential weak upper limit of a sequence of multifunctions ⋮ Generalized Leibniz Rules and Lipschitzian Stability for Expected-Integral Mappings

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