Email this article Multivalued Mappings with the Quasimöbius Property
- Authors: Aseev V.V.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 60, No 5 (2019)
- Pages: 741-756
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/172612
- DOI: https://doi.org/10.1134/S003744661905001X
- ID: 172612
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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.
About the authors
V. V. Aseev
Sobolev Institute of Mathematics
Author for correspondence.
Email: btp@math.nsc.ru
Russian Federation, Novosibirsk
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