On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities.
In: Journal of Optimization Theory & Applications, Jg. 176 (2018-02-01), Heft 2, S. 399-409
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Zugriff:
In infinite-dimensional Hilbert spaces, we prove that the iterative sequence generated by the extragradient method for solving pseudo-monotone variational inequalities converges weakly to a solution. A class of pseudo-monotone variational inequalities is considered to illustrate the convergent behavior. The result obtained in this note extends some recent results in the literature; especially, it gives a positive answer to a question raised in Khanh (Acta Math Vietnam 41:251–263, 2016 ). [ABSTRACT FROM AUTHOR]
| Titel: |
On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities.
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| Autor/in / Beteiligte Person: | Vuong, Phan Tu |
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| Zeitschrift: | Journal of Optimization Theory & Applications, Jg. 176 (2018-02-01), Heft 2, S. 399-409 |
| Veröffentlichung: | 2018 |
| Medientyp: | academicJournal |
| ISSN: | 0022-3239 (print) |
| DOI: | 10.1007/s10957-017-1214-0 |
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