<div class="csl-bib-body">
<div class="csl-entry">Phan, V. (2018). On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities. <i>Journal of Optimization Theory and Applications</i>, <i>176</i>(2), 399–409. https://doi.org/10.1007/s10957-017-1214-0</div>
</div>
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dc.identifier.issn
0022-3239
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/145391
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dc.description.abstract
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 behaviour. The result obtained in this note extends some recent results in the literature; especially, it gives a positive answer to a question raised in Acta. Math. Vietnam, 41, 251-263 (2016).
en
dc.language.iso
en
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dc.publisher
SPRINGER/PLENUM PUBLISHERS
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dc.relation.ispartof
Journal of Optimization Theory and Applications
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dc.subject
Applied Mathematics
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dc.subject
Control and Optimization
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dc.subject
Management Science and Operations Research
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dc.subject
Variational inequality
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dc.subject
extragradient method
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dc.subject
pseudo-monotonicity
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dc.subject
weak convergence
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dc.title
On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities
en
dc.type
Artikel
de
dc.type
Article
en
dc.description.startpage
399
-
dc.description.endpage
409
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dc.type.category
Short/Brief/Rapid Communication
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tuw.container.volume
176
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tuw.container.issue
2
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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tuw.researchTopic.id
C6
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tuw.researchTopic.id
C4
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tuw.researchTopic.name
Modelling and Simulation
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
20
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tuw.researchTopic.value
80
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dcterms.isPartOf.title
Journal of Optimization Theory and Applications
-
tuw.publication.orgunit
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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tuw.publisher.doi
10.1007/s10957-017-1214-0
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dc.identifier.eissn
1573-2878
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dc.description.numberOfPages
11
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wb.sci
true
-
wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.facultyfocus
Wirtschaftsmathematik und Stochastik
de
wb.facultyfocus
Mathematical Methods in Economics and Stochastics
en
wb.facultyfocus.faculty
E100
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Publications
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Publications
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http://purl.org/coar/resource_type/c_18cf
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http://purl.org/coar/resource_type/c_18cf
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no Fulltext
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restricted
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en
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item.openairetype
Artikel
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Article
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crisitem.author.dept
E105 - Institut für Stochastik und Wirtschaftsmathematik
