A new hybrid method for solving variational inequalities

• Published in: Доповіді НАН України
• Date: 2014
• Main Authors: Malitsky, Yu.V., Semenov, V.V.
• Format: Article
• Language: English
• Published: Видавничий дім "Академперіодика" НАН України 2014
• Subjects: Інформатика та кібернетика
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/87594
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 extra...