article published yes Yekini Shehu author 3FC7CB58-F248-11E8-B48F-1D18A9856A870000-0001-9224-7139 Aviv Gibali author Simone Sagratella author VlKo department Discrete Optimization in Computer Vision: Theory and Practice project In this paper, we introduce an inertial projection-type method with different updating strategies for solving quasi-variational inequalities with strongly monotone and Lipschitz continuous operators in real Hilbert spaces. Under standard assumptions, we establish different strong convergence results for the proposed algorithm. Primary numerical experiments demonstrate the potential applicability of our scheme compared with some related methods in the literature. https://research-explorer.ista.ac.at/download/7161/8647/2020_JourOptimizationTheoryApplic_Shehu.pdf application/pdf2021-03-15no Springer Nature2020 eng 0022-3239 1573-2878 00051180520000910.1007/s10957-019-01616-6 184877–894 Shehu, Yekini, Aviv Gibali, and Simone Sagratella. “Inertial Projection-Type Methods for Solving Quasi-Variational Inequalities in Real Hilbert Spaces.” <i>Journal of Optimization Theory and Applications</i>. Springer Nature, 2020. <a href="https://doi.org/10.1007/s10957-019-01616-6">https://doi.org/10.1007/s10957-019-01616-6</a>. Shehu, Yekini, et al. “Inertial Projection-Type Methods for Solving Quasi-Variational Inequalities in Real Hilbert Spaces.” <i>Journal of Optimization Theory and Applications</i>, vol. 184, Springer Nature, 2020, pp. 877–894, doi:<a href="https://doi.org/10.1007/s10957-019-01616-6">10.1007/s10957-019-01616-6</a>. Shehu Y, Gibali A, Sagratella S. 2020. Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces. Journal of Optimization Theory and Applications. 184, 877–894. Y. Shehu, A. Gibali, and S. Sagratella, “Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces,” <i>Journal of Optimization Theory and Applications</i>, vol. 184. Springer Nature, pp. 877–894, 2020. Shehu, Y., Gibali, A., &#38; Sagratella, S. (2020). Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces. <i>Journal of Optimization Theory and Applications</i>. Springer Nature. <a href="https://doi.org/10.1007/s10957-019-01616-6">https://doi.org/10.1007/s10957-019-01616-6</a> Shehu Y, Gibali A, Sagratella S. Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces. <i>Journal of Optimization Theory and Applications</i>. 2020;184:877–894. doi:<a href="https://doi.org/10.1007/s10957-019-01616-6">10.1007/s10957-019-01616-6</a> Y. Shehu, A. Gibali, S. Sagratella, Journal of Optimization Theory and Applications 184 (2020) 877–894. 71612019-12-09T21:33:44Z2024-11-04T13:52:44Z