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Continuity of a Metric Function and Projection in Asymmetric Spaces

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Abstract

The article studies the continuity of left metric functions and the upper semicontinuity of left metric projections onto boundedly sequential left-compact sets in asymmetric spaces. Relationships between the properties of approximative stability and approximative compactness are studied.

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Funding

This work was supported by the Russian Science Foundation under grant no. 22-21-00204.

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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.

Additional information

Translated from Matematicheskie Zametki, 2022, Vol. 111, pp. 606-615 https://doi.org/10.4213/mzm13320.

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Tsar’kov, I.G. Continuity of a Metric Function and Projection in Asymmetric Spaces. Math Notes 111, 616–623 (2022). https://doi.org/10.1134/S0001434622030300

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  • DOI: https://doi.org/10.1134/S0001434622030300

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