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

• Дата: 2018
• Автори: Sevost'yanov, E. A., Skvortsov, S. A., Севостьянов, Е. А., Скворцов, С. A.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2018
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1608
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...