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Matematicheskie Zametki, 2022, Volume 111, Issue 4, Pages 606–615
DOI: https://doi.org/10.4213/mzm13320 (Mi mzm13320) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Continuity of a Metric Function and Projection in Asymmetric Spaces

I. G. Tsar'kov

Lomonosov Moscow State University
Full-text PDF (451 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm13320
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.
Keywords: asymmetric spaces, convex sets, metric function, metric projection.
Funding agency Grant number
Russian Science Foundation 22-21-00204
This work was supported by the Russian Science Foundation under grant no. 22-21-00204.
Received: 07.10.2021
Revised: 24.11.2021
English version:
Mathematical Notes, 2022, Volume 111, Issue 4, Pages 616–623
DOI: https://doi.org/10.1134/S0001434622030300
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: I. G. Tsar'kov, “Continuity of a Metric Function and Projection in Asymmetric Spaces”, Mat. Zametki, 111:4 (2022), 606–615; Math. Notes, 111:4 (2022), 616–623
Citation in format AMSBIB
\Bibitem{Tsa22}
\by I.~G.~Tsar'kov
\paper Continuity of a Metric Function and Projection in Asymmetric Spaces
\jour Mat. Zametki
\yr 2022
\vol 111
\issue 4
\pages 606--615
\mathnet{http://mi.mathnet.ru/mzm13320}
\crossref{https://doi.org/10.4213/mzm13320}
\transl
\jour Math. Notes
\yr 2022
\vol 111
\issue 4
\pages 616--623
\crossref{https://doi.org/10.1134/S0001434622030300}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85129272486}
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  • https://doi.org/10.4213/mzm13320
  • https://www.mathnet.ru/eng/mzm/v111/i4/p606
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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