On \(n\)-dimensional extensions of Fatou's lemma

DOI10.1007/BF00945411zbMath0658.28004WikidataQ124827361 ScholiaQ124827361MaRDI QIDQ1111720

Czeslaw Olech

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

extensions of Fatou's lemma to several dimensionsintegral of a set- valued mapping

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Integration with respect to measures and other set functions (28A25) Vector-valued set functions, measures and integrals (28B05) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (1)

Applications of the method of compactness and decomposition: minimization, convergence of martingales, multivalued Fatou lemma

Cites Work

• Unnamed Item
• A note on Fatou's lemma in several dimensions
• Existence theorems for optimal control problems involving multiple integrals
• More on Fatou's Lemma in Several Dimensions
• A Unifying Note on Fatou's Lemma in Several Dimensions
• An existence theorem for pareto problems
• Existence Theorems for Optimal Problems with Vector-Valued Cost Function
• Fatou's Lemma in Several Dimensions
• On Fatou's Lemma in several dimensions

This page was built for publication: On \(n\)-dimensional extensions of Fatou's lemma