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

M. S. Nikolskii

doi:10.1007/978-1-4757-2135-5_16

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

M. S. Nikolskii

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

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Publication Date: Jan 1, 1991

Citations: 1

#Uniform Metric #Set-valued Mapping + Show 4 more

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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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