Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces

Y. Shehu, A. Gibali, S. Sagratella, Journal of Optimization Theory and Applications (2019).

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Journal Article | Epub ahead of print | English
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Abstract
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.
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2019-12-07
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Journal of Optimization Theory and Applications
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Shehu Y, Gibali A, Sagratella S. Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces. Journal of Optimization Theory and Applications. 2019. doi:10.1007/s10957-019-01616-6
Shehu, Y., Gibali, A., & Sagratella, S. (2019). Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces. Journal of Optimization Theory and Applications. https://doi.org/10.1007/s10957-019-01616-6
Shehu, Yekini, Aviv Gibali, and Simone Sagratella. “Inertial Projection-Type Methods for Solving Quasi-Variational Inequalities in Real Hilbert Spaces.” Journal of Optimization Theory and Applications, 2019. https://doi.org/10.1007/s10957-019-01616-6.
Y. Shehu, A. Gibali, and S. Sagratella, “Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces,” Journal of Optimization Theory and Applications, 2019.
Shehu Y, Gibali A, Sagratella S. 2019. Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces. Journal of Optimization Theory and Applications.
Shehu, Yekini, et al. “Inertial Projection-Type Methods for Solving Quasi-Variational Inequalities in Real Hilbert Spaces.” Journal of Optimization Theory and Applications, Springer Nature, 2019, doi:10.1007/s10957-019-01616-6.

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