Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities

We propose two modified Tseng's extragradient methods (also known as Forward-Backward-Forward methods) for solving non-Lipschitzian and pseudo-monotone variational inequalities in real Hilbert spaces. Under mild and standard conditions, we obtain the weak and strong convergence of the proposed...

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Bibliographic Details
Published inOptimization Vol. 68; no. 11; pp. 2207 - 2226
Main Authors Thong, Duong Viet, Vuong, Phan Tu
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 02.11.2019
Taylor & Francis LLC
Subjects
extragradient method
Forward-Backward-Forward method
Hilbert space
Inequalities
Mann-type method
Numerical methods
pseudo-monotone operator
variational inequality
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Summary:We propose two modified Tseng's extragradient methods (also known as Forward-Backward-Forward methods) for solving non-Lipschitzian and pseudo-monotone variational inequalities in real Hilbert spaces. Under mild and standard conditions, we obtain the weak and strong convergence of the proposed methods. Numerical examples for illustrating the behaviour of the proposed methods are also presented
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2019.1616191