This article is cited in 8 papers

Multivalued mappings with the quasimöbius property

V. V. Aseev

Sobolev Institute of Mathematics, Novosibirsk, Russia

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.

UDC: 517.54

Received: 12.03.2019
Revised: 24.06.2019
Accepted: 24.07.2019

DOI: 10.33048/smzh.2019.60.501

 English version: Siberian Mathematical Journal, 2019, 60:5, 741–756

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