Transition vector measures and multimeasures and parametric set-valued integrals

DOI10.1216/rmjm/1181071899zbMath0916.46034OpenAlexW2008565800MaRDI QIDQ5906901

Nikolaos S. Papageorgiou

Publication date: 20 April 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-3/CONT27-3/CONT27-3.html

zbMATH Keywords

Radon-Nikodým theoremPolish spacesupport functionMackey topologyset-valued integralsmultimeasuresnarrow topologyFilippov's implicit function lemmaset-valued Radon-Nikodým derivativetransition vector measures

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Vector-valued measures and integration (46G10) Measures and integration on abstract linear spaces (46G12)

Cites Work

• On the theory of Banach space valued multifunctions. I: Integration and conditional expectation
• New techniques for the study of stochastic equilibrium processes
• Radon-Nikodym Theorems for Multimeasures and Transition Multimeasures
• Measurable relations
• On the dependence of the solutions and optimal solutions of control problems on the control constraint set
• Convergence and representation theorems for set valued random processes
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