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

Bingnan Jiang, Yuanheng Wang and Jen-Chih Yao
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Bingnan Jiang: College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China
Yuanheng Wang: College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China
Jen-Chih Yao: College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2021, vol. 9, issue 17, 1-20

Abstract: 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.

Keywords: hierarchical variational inequality problem; multi-step inertial method; generalized Lipschitzian mapping; strong convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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