Caristi-like condition. Existence of solutions to equations and minima of functions in metric spaces

In the paper, there were studied Caristi-like conditions that guaranteed existence of a minimum of a function on a metric space. For functions dependent on a parameter, there were obtained conditions for existence of a minimum for each value of the parameter. These results were applied to derive conditions for fixed point and coincidence point existence for mappings in metric spaces. For mappings dependent on a parameter, there were obtained conditions of coincidence point existence for each value of the parameter. © 2019, House of the Book of Science. All rights reserved.

Авторы
Редакторы
-
Журнал
Издательство
House of the Book of Science
Номер выпуска
1
Язык
Английский
Страницы
31-58
Статус
Опубликовано
Подразделение
-
Номер
-
Том
20
Год
2019
Организации
  • 1 Peoples’ Friendship University of Russia, 6 Miklukho-Maklaya st, Moscow, 117198, Russian Federation
  • 2 Lomonosov Moscow State University, 1 Leninskie Gory, Moscow, 119992, Russian Federation
  • 3 Institute for Information, Transmission Problems of RAS (Kharkevich Institute), 19 Bol’shoi Karetnyi per., Moscow, 127051, Russian Federation
  • 4 V.A. Trapeznikov Institute of Control Sciences of RAS, 65 Profsoyuznaya st., Moscow, 117997, Russian Federation
  • 5 Voronezh State University, 1 Universitetskaya pl, Voronezh, 394006, Russian Federation
  • 6 Tambov State University, 33 International’naya st, Tambov, 392622, Russian Federation
Ключевые слова
Caristi-like conditions; Coincidence point; Fixed point
Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/38477/