Weak convergence for variational inequalities with inertial-type method

@article{Shehu2020WeakCF,
  title={Weak convergence for variational inequalities with inertial-type method},
  author={Yekini Shehu and Olaniyi Samuel Iyiola},
  journal={Applicable Analysis},
  year={2020},
  volume={101},
  pages={192 - 216}
}
Weak convergence of inertial iterative method for solving variational inequalities is the focus of this paper. The cost function is assumed to be non-Lipschitz and monotone. We propose a projection-type method with inertial terms and give weak convergence analysis under appropriate conditions. Some test results are performed and compared with relevant methods in the literature to show the efficiency and advantages given by our proposed methods. 
2 Citations
Two projection-based methods for bilevel pseudomonotone variational inequalities involving non-Lipschitz operators
  • Bing Tan, S. Cho
  • Mathematics
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
  • 2022
In this paper, we propose two new iterative algorithms to discover solutions of bilevel pseudomonotone variational inequalities with non-Lipschitz continuous operators in real Hilbert spaces. Our

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