On finite convergence of proximal point algorithms for variational inequalities
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| Název: | On finite convergence of proximal point algorithms for variational inequalities |
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| Autoři: | Naihua Xiu, Jianzhong Zhang |
| Zdroj: | Journal of Mathematical Analysis and Applications. 312:148-158 |
| Informace o vydavateli: | Elsevier BV, 2005. |
| Rok vydání: | 2005 |
| Témata: | Numerical optimization and variational techniques, finite termination, Numerical methods based on nonlinear programming, weakly sharp solutions, Applied Mathematics, 0211 other engineering and technologies, 02 engineering and technology, Variational inequalities, proximal methods, Inertial proximal method, Weak sharpness, Variational and other types of inequalities involving nonlinear operators (general), Proximal point algorithm, iterative methods, Finite convergence, variational inequalities, Analysis |
| Popis: | Various concepts of sharp solutions are utilized by many authors for ensuring the finite termination property of iterative methods; see, e.g., \textit{M. C. Ferris} [Math. Program., Ser. A 50, No. 3, 359--366 (1991; Zbl 0741.90051)] where it was obtained for the proximal point method. The authors present similar results for the case of variational inequalities under somewhat weakened conditions and afterwards adjust them for the inertial proximal point method applied to extended variational inequalities. |
| Druh dokumentu: | Article |
| Popis souboru: | application/xml |
| Jazyk: | English |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2005.03.026 |
| Přístupová URL adresa: | https://core.ac.uk/display/82447580 https://www.sciencedirect.com/science/article/pii/S0022247X05002155 http://ui.adsabs.harvard.edu/abs/2005JMAA..312..148X/abstract https://www.sciencedirect.com/science/article/abs/pii/S0022247X05002155 |
| Rights: | Elsevier Non-Commercial |
| Přístupové číslo: | edsair.doi.dedup.....6bee78fb99243e7cdf96fc3d44aad10c |
| Databáze: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstrakt: | Various concepts of sharp solutions are utilized by many authors for ensuring the finite termination property of iterative methods; see, e.g., \textit{M. C. Ferris} [Math. Program., Ser. A 50, No. 3, 359--366 (1991; Zbl 0741.90051)] where it was obtained for the proximal point method. The authors present similar results for the case of variational inequalities under somewhat weakened conditions and afterwards adjust them for the inertial proximal point method applied to extended variational inequalities. |
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| ISSN: | 0022247X |
| DOI: | 10.1016/j.jmaa.2005.03.026 |