Inertial projection and contraction methods for pseudomonotone variational inequalities with non-Lipschitz operators and applications

In this paper, some new accelerated iterative schemes are proposed to solve the variational inequality problem with a pseudomonotone and uniformly continuous operator in real Hilbert spaces. Strong convergence theorems of the suggested algorithms are obtained without the prior knowledge of the Lipsc...

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Published inApplicable analysis Vol. 102; no. 4; pp. 1199 - 1221
Main Authors Tan, Bing, Li, Songxiao, Cho, Sun Young
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 04.03.2023
Taylor & Francis Ltd
Subjects
Algorithms
Hilbert space
inertial extragradient method
Iterative methods
Mathematical analysis
Operators (mathematics)
projection and contraction method
pseudomonotone mapping
uniformly continuous mapping
Variational inequality problem
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ISSN0003-6811
1563-504X
DOI10.1080/00036811.2021.1979219

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Summary:In this paper, some new accelerated iterative schemes are proposed to solve the variational inequality problem with a pseudomonotone and uniformly continuous operator in real Hilbert spaces. Strong convergence theorems of the suggested algorithms are obtained without the prior knowledge of the Lipschitz constant of the operator. Some numerical experiments and applications are performed to illustrate the advantages of the proposed methods with respect to several related ones.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2021.1979219