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Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities

Author

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  • Danfeng Wu
  • Li-Jun Zhu
  • Zhuang Shan
  • Tzu-Chien Yin
  • Liya Liu

Abstract

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.

Suggested Citation

  • Danfeng Wu & Li-Jun Zhu & Zhuang Shan & Tzu-Chien Yin & Liya Liu, 2021. "Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities," Journal of Mathematics, Hindawi, vol. 2021, pages 1-13, November.
    • Handle: RePEc:hin:jjmath:2218666
    DOI: 10.1155/2021/2218666
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