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<p>In this paper, we propose an inertial subgradient extragradient method with Armijo step-size rule for solving pseudomonotone variational inequality problems in real Hilbert spaces. Due to the use of a strongly monotone and Lipschitz continuous operator, the proposed method contains several interesting algorithms as special cases. The strong convergence of the sequence generated by the proposed algorithm is obtained under mild conditions. The results of our work generalize and improve some known results in the literature. Finally, numerical experiments show that the proposed algorithm is effective and superior to some other algorithms.</p>

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A subgradient extragradient method for solving pseudo-monotone variational inequality problems

  • 期刊论文

  • 发表日期：

    2025年9月8日

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  • Jian-Wen Peng,
  • Li Han,
  • Ying-Ming Qiu,
  • Abubakar Adamu,
  • Jen-Chih Yao

摘要

In this paper, we propose an inertial subgradient extragradient method with Armijo step-size rule for solving pseudomonotone variational inequality problems in real Hilbert spaces. Due to the use of a strongly monotone and Lipschitz continuous operator, the proposed method contains several interesting algorithms as special cases. The strong convergence of the sequence generated by the proposed algorithm is obtained under mild conditions. The results of our work generalize and improve some known results in the literature. Finally, numerical experiments show that the proposed algorithm is effective and superior to some other algorithms.