A new hybrid method for solving variational inequalities
We introduce a new method for solving variational inequalities with monotone and Lipschitzcontinuous operators acting in a Hilbert space. The iterative process based on the well-known projection method and the hybrid (or outer approximations) method. However, we do not use an extrapolation step in...
Збережено в:
| Дата: | 2014 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Видавничий дім "Академперіодика" НАН України
2014
|
| Назва видання: | Доповіді НАН України |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/87594 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A new hybrid method for solving variational inequalities / Yu.V. Malitsky, V.V. Semenov // Доповiдi Нацiональної академiї наук України. — 2014. — № 4. — С. 49-55. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | We introduce a new method for solving variational inequalities with monotone and Lipschitzcontinuous operators acting in a Hilbert space. The iterative process based on the well-known
projection method and the hybrid (or outer approximations) method. However, we do not use
an extrapolation step in the projection method. The absence of one projection in our method
is explained by a slightly different choice of sets in the hybrid method. We prove the strong
convergence of the sequences generated by our method. |
|---|