The extragradient method for quasi-monotone variational inequalities

The goal of this paper is to study quasi-monotone variational inequality problems in infinite dimensional Hilbert spaces and to prove that the iterative sequence generated by an extragradient algorithm converges weakly to a solution.

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Bibliographic Details
Published inOptimization Vol. 71; no. 9; pp. 2519 - 2528
Main Author Salahuddin
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 02.09.2022
Taylor & Francis LLC
Subjects
Algorithms
extragradient algorithm
Hilbert space
Hilbert spaces
quasi-monotonicity
Variational inequality problems
weak convergence
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Summary:The goal of this paper is to study quasi-monotone variational inequality problems in infinite dimensional Hilbert spaces and to prove that the iterative sequence generated by an extragradient algorithm converges weakly to a solution.
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2020.1860979