Multi-Step Inertial Regularized Methods for Hierarchical Variational Inequality Problems Involving Generalized Lipschitzian Mappings

In this paper, we construct two multi-step inertial regularized methods for hierarchical inequality problems involving generalized Lipschitzian and hemicontinuous mappings in Hilbert spaces. Then we present two strong convergence theorems and some numerical experiments to show the effectiveness and...

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Veröffentlicht in:	Mathematics (Basel) 2021-09, Vol.9 (17), p.2103
Hauptverfasser:	Jiang, Bingnan, Wang, Yuanheng, Yao, Jen-Chih
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms generalized Lipschitzian mapping hierarchical variational inequality problem Hilbert space Iterative methods Mathematics Methods multi-step inertial method strong convergence
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Zusammenfassung:	In this paper, we construct two multi-step inertial regularized methods for hierarchical inequality problems involving generalized Lipschitzian and hemicontinuous mappings in Hilbert spaces. Then we present two strong convergence theorems and some numerical experiments to show the effectiveness and feasibility of our new iterative methods.
ISSN:	2227-7390 2227-7390
DOI:	10.3390/math9172103