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Национальный агрегатор открытых репозиториев российских университетов (HOPA)
Article . 2020
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Periodic Trajectories and Points of Coincidence for Ensembles of Multivalued Mappings

descriptionPublicationkeyboard_double_arrow_right Article 03 Mar 2020 Russian Publisher:Федеральное государственное бюджетное учреждение науки Математический институт им. В.А. Стеклова Российской академии наук
Authors: Gel'man B.D.;

Periodic Trajectories and Points of Coincidence for Ensembles of Multivalued Mappings

Abstract

Настоящая работа посвящена доказательству теоремы о неподвижной точке композиции конечного числа многозначных липшицевых отображений, если произведение их констант Липшица меньше единицы. В ней вводится понятие липшицева ансамбля (конечного набора) многозначных отображений, доказывается теорема о существовании периодической траектории ансамбля, которая и определяет неподвижную точку композиции многозначных липшицевых отображений. Доказанная теорема применяется для изучения точек совпадения двух ансамблей (липшицева и накрывающего).

Keywords

сюръективный оператор, многозначное отображение, липшицево многозначное отображение, неподвижная точка, метрика Хаусдорфа

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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