Multivalued Mappings with the Quasimöbius Property

Аннотация

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.