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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 5, Pages 953–972
DOI: https://doi.org/10.33048/smzh.2019.60.501 (Mi smj3128) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Multivalued mappings with the quasimöbius property

V. V. Aseev

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (504 kB) Citations (10)
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DOI: https://doi.org/10.33048/smzh.2019.60.501
Abstract: We continue studying the multivalued mappings of BAD (bounded angular distortion) class in Ptolemaic Möbius structures. We prove that the single-valued branches of these mappings are quasimöbius under some constraints on the metric spaces. Some conditions are found that guarantee the upper semicontinuity and continuity of BAD multivalued mappings.
Keywords: Möbius structure, Möbius space, Ptolemaic Möbius space, generalized angle, mapping of BAD class.
Received: 12.03.2019
Revised: 24.06.2019
Accepted: 24.07.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 5, Pages 741–756
DOI: https://doi.org/10.1134/S003744661905001X
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. V. Aseev, “Multivalued mappings with the quasimöbius property”, Sibirsk. Mat. Zh., 60:5 (2019), 953–972; Siberian Math. J., 60:5 (2019), 741–756
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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