A New Proof of the Lyapunov Convexity Theorem

DOI10.1137/0328026zbMath0696.28003OpenAlexW1970934902MaRDI QIDQ3472327

Fabio Tardella

Publication date: 1990

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0328026

zbMATH Keywords

convex analysisLyapunov convexity theoremShapley-Folkman theoremvector-valued measuresintegrals of multifunctions

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Vector-valued set functions, measures and integrals (28B05)

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The Shapley-Folkman theorem and the range of a bounded measure: an elementary and unified treatment ⋮ The subdifferential of measurable composite max integrands and smoothing approximation ⋮ Shapley-Folkman-Lyapunov theorem and asymmetric first price auctions

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