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УМН, 2000, том 55, выпуск 3(333), страницы 103–162 (Mi umn292)  

Эта публикация цитируется в 289 научных статьях (всего в 289 статьях)

Метрическая регулярность и субдифференциальное исчисление

А. Д. Иоффе

Technion – Israel Institute of Technology

Аннотация: Теория метрической регулярности представляет собой обобщение классических теорем Люстерника о касательном пространстве и Грейвса о накрывании. С развитием негладкого анализа в 80–90 годы обнаружились возможности далеко идущих обобщений этих результатов на произвольные многозначные отображения и, более того, была понята метрическая природа стоящих за ними явлений, не связанная ни с какими линейными структурами. Одновременно выяснилось, что базовые гипотезы в основных теоремах субдифференциального исчисления тесно связаны с метрической регулярностью некоторых специальных многозначных отображений. В обзоре излагается метрическая теория метрической регулярности и ее взаимосвязи с исчислением субдифференциалов в банаховых пространствах.
Библиография: 97 названий.

DOI: https://doi.org/10.4213/rm292

Полный текст: PDF файл (552 kB)
Список литературы: PDF файл   HTML файл

Англоязычная версия:
Russian Mathematical Surveys, 2000, 55:3, 501–558

Реферативные базы данных:

УДК: 517
MSC: Primary 49J52, 58C20; Secondary 58C06, 58E05, 49J53, 46G05, 46A30, 54C60, 49J50
Поступила в редакцию: 26.01.2000

Образец цитирования: А. Д. Иоффе, “Метрическая регулярность и субдифференциальное исчисление”, УМН, 55:3(333) (2000), 103–162; Russian Math. Surveys, 55:3 (2000), 501–558

Цитирование в формате AMSBIB
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