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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 3, Pages 528–538
DOI: https://doi.org/10.33048/smzh.2020.61.304 (Mi smj5999) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Distance functions between sets in $(q_1,q_2)$-quasimetric spaces

A. V. Greshnov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/smzh.2020.61.304
Abstract: We prove completeness theorems for the set of all $d$-closed $d$-bounded sets in a $(q_1,q_2)$-quasimetric space $(X,d)$ equipped with suitable analogs of the Hausdorff distance.
Keywords: $(q_1,q_2)$-quasimetric, Hausdorff distance, closed set, completeness.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0006
The author was funded within the Government Task to the Sobolev Institute of Mathematics (Project 0314-2019-0006).
Received: 18.07.2019
Revised: 27.11.2019
Accepted: 25.12.2019
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 3, Pages 417–425
DOI: https://doi.org/10.1134/S0037446620030040
Bibliographic databases:
Document Type: Article
UDC: 517
MSC: 35R30
Language: Russian
Citation: A. V. Greshnov, “Distance functions between sets in $(q_1,q_2)$-quasimetric spaces”, Sibirsk. Mat. Zh., 61:3 (2020), 528–538; Siberian Math. J., 61:3 (2020), 417–425
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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