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

Mathematics

卷:9

Jen-Chih Yao¹  Yuanheng Wang¹  Bingnan Jiang¹ 

[1] College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China;

关键词: hierarchical variational inequality problem;    multi-step inertial method;    generalized Lipschitzian mapping;    strong convergence;   

DOI  :  10.3390/math9172103

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown