On the random Dugundji extension theorem

DOI10.1016/0022-247X(87)90184-3zbMath0655.28003MaRDI QIDQ1109159

Józef Myjak, Francesco S. de Blasi

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

measurable selectionsG-Carathéodory functiongraph of a weakly measurable multifunctionmeasurable extensionsrandom versions of the Dugundji extension theorem

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60)

Related Items (4)

The random version of the Kirzbraun-Valentine extension theorem ⋮ Approximation and extension of random functions ⋮ Some results on Carathéodory selections and extensions ⋮ Periodic solutions of random differential inclusions

Cites Work

• Measurable extension theorems
• Correction to: Precompact contraction of metric uniformities and the continuity of F(t,x)
• Convex analysis and measurable multifunctions
• Measurability of Extensions of Continuous Random Transforms
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