A subgradient extragradient algorithm with inertial effects for solving strongly pseudomonotone variational inequalities

In this paper, we introduce a new algorithm by incorporating inertial terms in a subgradient extragradient algorithm for solving variational inequality problems involving strongly pseudomonotone and Lipschitz continuous operators in Hilbert spaces. The strong convergence of the algorithm is obtained...

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Bibliographic Details
Published inOptimization Vol. 69; no. 9; pp. 2199 - 2215
Main Authors Fan, Jingjing, Liu, Liya, Qin, Xiaolong
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 01.09.2020
Taylor & Francis LLC
Subjects
Algorithms
Gradient projection
Hilbert space
inertial extrapolation
maximal monotone operator
variational inequality
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Summary:In this paper, we introduce a new algorithm by incorporating inertial terms in a subgradient extragradient algorithm for solving variational inequality problems involving strongly pseudomonotone and Lipschitz continuous operators in Hilbert spaces. The strong convergence of the algorithm is obtained under mild assumptions. We also provide some numerical examples to illustrate that the acceleration of our algorithm is effective.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2019.1625355