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Uniformly and Locally Convex Asymmetric Spaces

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Abstract

For uniformly convex asymmetric spaces, questions concerning nonempty intersections of a nested system of bounded convex closed sets are considered. Questions concerning the density of sets of points of existence and approximative uniqueness are studied in these spaces for the case of nonempty closed subsets.

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Funding

This research was financially supported by the Russian Science Foundation (grant no. 22-21-00204).

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    I. G. Tsarkov

  2. Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia

    I. G. Tsarkov

Authors
  1. I. G. Tsarkov
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Correspondence to I. G. Tsarkov.

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Tsarkov, I.G. Uniformly and Locally Convex Asymmetric Spaces. Russ. J. Math. Phys. 29, 141–148 (2022). https://doi.org/10.1134/S1061920822010137

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  • DOI: https://doi.org/10.1134/S1061920822010137

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