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On the Approximation of Set-Valued Mappings in a Uniform (Chebyshev) Metric

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Nonlinear Synthesis

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 9))

Abstract

The theory of set-valued mapping (SVM) has essential applications and stimuluses in different domains of mathematics (see for example [1], [2]). Convex-valued continuous SVM form an important class. It is natural, by analogy with classical analysis, to consider the problem of approximating such mappings in uniform metric by SVM which have a simple structure.

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Bibliography

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© 1991 Springer Science+Business Media New York

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Nikolskii, M.S. (1991). On the Approximation of Set-Valued Mappings in a Uniform (Chebyshev) Metric. In: Byrnes, C.I., Kurzhansky, A.B. (eds) Nonlinear Synthesis. Progress in Systems and Control Theory, vol 9. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-2135-5_16

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  • DOI: https://doi.org/10.1007/978-1-4757-2135-5_16

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3484-1

  • Online ISBN: 978-1-4757-2135-5

  • eBook Packages: Springer Book Archive

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