Multivalued Mappings with the Quasimöbius Property

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 semiconti...

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Bibliographic Details
Published inSiberian mathematical journal Vol. 60; no. 5; pp. 741 - 756
Main Author Aseev, V. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.09.2019
Springer Nature B.V
Subjects
Mathematics
Mathematics and Statistics
Metric space
generalized angle
Möbius structure
mapping of BAD class
Möbius space
Ptolemaic Möbius space
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Summary: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.
ISSN:0037-4466
1573-9260
DOI:10.1134/S003744661905001X