Coincidence points principle for set-valued mappings in partially ordered spaces

In the paper the concept of covering (regularity) for set-valued mappings in partially ordered spaces is introduced. The coincidence points problem for set-valued mappings in partially ordered spaces is considered. Sufficient conditions for the existence of coincidence points of isotone and orderly covering set-valued mappings are obtained. It is shown that the known theorems on coincidence points of covering and Lipschitz mappings in metric spaces can be deduced from the obtained results. © 2015 Published by Elsevier B.V.

Авторы
Язык
Английский
Страницы
330-343
Статус
Опубликовано
Том
201
Год
2016
Организации
  • 1 Peoples' Friendship University of Russia, M.-Maklaya str., 6, Moscow, 117198, Russian Federation
  • 2 Moscow State University, Department of Computational Mathematics and Cybernetics, Leninskiye Gori 1-52, Moscow, 119234, Russian Federation
  • 3 Tambov State University, Internatsionalnaya str., 33, Tambov, 392000, Russian Federation
Ключевые слова
Coincidence point; Orderly covering mapping
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3979/