Convergence of the Modified Extragradient Method for Variational Inequalities with Non-Lipschitz Operators
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| 024 | 7 | 0 | |a 10.1007/s10559-015-9768-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10559-015-9768-z | ||
| 245 | 0 | 0 | |a Convergence of the Modified Extragradient Method for Variational Inequalities with Non-Lipschitz Operators |h [Elektronische Daten] |c [S. Denisov, V. Semenov, L. Chabak] |
| 520 | 3 | |a We propose a modified extragradient method with dynamic step size adjustment to solve variational inequalities with monotone operators acting in a Hilbert space. In addition, we consider a version of the method that finds a solution of a variational inequality that is also a fixed point of a quasi-nonexpansive operator. We establish the weak convergence of the methods without any Lipschitzian continuity assumption on operators. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a variational inequality |2 nationallicence | |
| 690 | 7 | |a monotone operator |2 nationallicence | |
| 690 | 7 | |a Hilbert space |2 nationallicence | |
| 690 | 7 | |a extragradient method |2 nationallicence | |
| 690 | 7 | |a weak convergence |2 nationallicence | |
| 700 | 1 | |a Denisov |D S. |u Taras Shevchenko National University of Kyiv, Kyiv, Ukraine |4 aut | |
| 700 | 1 | |a Semenov |D V. |u Taras Shevchenko National University of Kyiv, Kyiv, Ukraine |4 aut | |
| 700 | 1 | |a Chabak |D L. |u Hetman Konashevych-Sahaidachnyi Kyiv State Maritime Academy, Kyiv, Ukraine |4 aut | |
| 773 | 0 | |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/5(2015-09-01), 757-765 |x 1060-0396 |q 51:5<757 |1 2015 |2 51 |o 10559 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10559-015-9768-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10559-015-9768-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Denisov |D S. |u Taras Shevchenko National University of Kyiv, Kyiv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Semenov |D V. |u Taras Shevchenko National University of Kyiv, Kyiv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chabak |D L. |u Hetman Konashevych-Sahaidachnyi Kyiv State Maritime Academy, Kyiv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/5(2015-09-01), 757-765 |x 1060-0396 |q 51:5<757 |1 2015 |2 51 |o 10559 | ||