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Revisiting subgradient extragradient methods for solving variational inequalities
- Authors
- Tan, Bing; Qin, Xiaolong; Cho, Sun Young
- Issue Date
- Aug-2022
- Publisher
- SPRINGER
- Keywords
- Variational inequality; Inertial extragradient method; Armjio stepsize; Pseudomonotone mapping; Non-Lipschitz operator
- Citation
- NUMERICAL ALGORITHMS, v.90, no.4, pp.1593 - 1615
- Indexed
- SCIE
SCOPUS
- Journal Title
- NUMERICAL ALGORITHMS
- Volume
- 90
- Number
- 4
- Start Page
- 1593
- End Page
- 1615
- ISSN
- 1017-1398
- Abstract
- In this paper, several extragradient algorithms with inertial effects and adaptive non-monotonic step sizes are proposed to solve pseudomonotone variational inequalities in real Hilbert spaces. The strong convergence of the proposed methods is established without the prior knowledge of the Lipschitz constant of the mapping. Some numerical experiments are given to illustrate the advantages and efficiency of the proposed schemes over previously known ones.
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