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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Published in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-13
Main Authors: Wu, Danfeng, Zhu, Li-Jun, Shan, Zhuang, Yin, Tzu-Chien
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Language:English
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Adaptive algorithms
Algorithms
Hilbert space
Mathematics
Regularization methods
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description 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.
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subjects Adaptive algorithms
Algorithms
Hilbert space
Mathematics
Regularization methods
title Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities
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