Abstract
Uniformly convex asymmetric spaces are defined. It is proved that every nonempty closed convex set in a uniformly convex complete asymmetric space is a set of approximative uniqueness (and, in particular, a Chebyshev set).
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Translated from Matematicheskie Zametki, 2021, Vol. 110, pp. 773–785 https://doi.org/10.4213/mzm13207.
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Tsar’kov, I.G. Uniform Convexity in Nonsymmetric Spaces. Math Notes 110, 773–783 (2021). https://doi.org/10.1134/S0001434621110146
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DOI: https://doi.org/10.1134/S0001434621110146