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A variational proof of Aumann's theorem

A variational proof of Aumann's theorem We give a new proof of Aumann's theorem on the integrals of multifunctions. The proof, which is variational in nature, also leads to a constructive procedure for calculating a selection whose integral approximates a given point in the integral of the multifunction. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

A variational proof of Aumann's theorem

Clarke, Frank
Applied Mathematics and Optimization , Volume 7 (1) – Mar 23, 2005
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References (14)

Publisher
Springer Journals
Copyright
Copyright © 1981 by Springer-Verlag New York Inc.
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/BF01442127
Publisher site
See Article on Publisher Site

Abstract

We give a new proof of Aumann's theorem on the integrals of multifunctions. The proof, which is variational in nature, also leads to a constructive procedure for calculating a selection whose integral approximates a given point in the integral of the multifunction.

Journal

Applied Mathematics and Optimization – Springer Journals

Published: Mar 23, 2005

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