Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities

In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding the solution of the monotone variational inequa...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-13
Main Authors: Wu, Danfeng, Zhu, Li-Jun, Shan, Zhuang, Yin, Tzu-Chien
Format: Article
Language:English
Subjects:
Adaptive algorithms
Algorithms
Hilbert space
Mathematics
Regularization methods
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Summary:In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding the solution of the monotone variational inequality in real Hilbert spaces. Strong convergence analysis of the proposed algorithms have been obtained under some mild conditions.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/2218666