Strong convergence of subgradient extragradient method with regularization for solving variational inequalities |
| |
Authors: | Van Hieu Dang Anh Pham Ky Muu Le Dung |
| |
Affiliation: | 1.Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam ;2.Department of Mathematics, Vietnam National University, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam ;3.TIMAS, Thang Long University, Hanoi, Vietnam ; |
| |
Abstract: | The paper concerns with the two numerical methods for approximating solutions of a monotone and Lipschitz variational inequality problem in a Hilbert space. We here describe how to incorporate regularization terms in the projection method, and then establish the strong convergence of the resulting methods under certain conditions imposed on regularization parameters. The new methods work in both cases of with or without knowing previously the Lipschitz constant of cost operator. Using the regularization aims mainly to obtain the strong convergence of the methods which is different to the known hybrid projection or viscosity-type methods. The effectiveness of the new methods over existing ones is also illustrated by several numerical experiments. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|