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Continuous selections of Aumann integrals

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Publication:916812
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DOI10.1016/0022-247X(90)90411-8zbMath0704.28006MaRDI QIDQ916812

Andrzej Fryszkowski

Publication date: 1990

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


zbMATH Keywords

Aumann integralcontinuous selectionvector measureslower semicontinuous multifunctionCarathéodory's selections


Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Selections in general topology (54C65)


Related Items

Some properties of viability problems depending on a parameter ⋮ Systems of first order differential inclusions with maximal monotone terms ⋮ Unnamed Item ⋮ Continuous version of Filippov-Wažewski relaxation theorem



Cites Work

  • Continuous selections. I
  • Caratheodory's selections for multifunctions with non-separable range
  • Integrals of set-valued functions
  • Selection theorems and their applications
  • Continuous selections for a class of non-convex multivalued maps
  • On Some Extremal Problems in the Theory of Differential Equations with Applications to the Theory of Optimal Control
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