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On convergence of mappings in metric spaces with direct and inverse modulus conditions

For mappings in metric spaces satisfying one inequality with respect to the modulus of families of curves, we establish the property of lightness of the limit mapping. It is shown that the uniform limit of these mappings is a light mapping, whenever the function responsible for the distortion of the...

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Bibliographic Details
Date:	2018
Main Authors:	Sevost'yanov, E. A., Skvortsov, S. A., Севостьянов, Е. А., Скворцов, С. A.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2018
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1608
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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