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Local Approximation Properties of Sets and Continuous Selections on Them

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Abstract

Sets with a continuous selection from the near-best approximation operator are studied and the relationship of such sets with the radial δ-solarity property and with the metric function is discussed.

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Funding

This work was supported by the Russian Foundation for Basic Research under grant 19–01–00332-a.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    I. G. Tsar’kov

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  1. I. G. Tsar’kov
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Correspondence to I. G. Tsar’kov.

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Russian Text © The Author(s), 2019, published in Matematicheskie Zametki, 2019, Vol. 106, No. 6, pp. 924–939.

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Tsar’kov, I.G. Local Approximation Properties of Sets and Continuous Selections on Them. Math Notes 106, 994–1007 (2019). https://doi.org/10.1134/S0001434619110361

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