|
|||||
|
|
Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems |
|
| Authors: | Duong Viet Thong Dang Van Hieu |
| Institution: | 1. Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam.;2. Department of Mathematics, College of Air Force, Nha Trang City, Vietnam. |
| Abstract: | The subgradient extragradient method can be considered as an improvement of the extragradient method for variational inequality problems for the class of monotone and Lipschitz continuous mappings. In this paper, we propose two new algorithms as combination between the subgradient extragradient method and Mann-like method for finding a common element of the solution set of a variational inequality and the fixed point set of a demicontractive mapping. |
| Keywords: | Subgradient extragradient method extragradient method Mann-like method variational inequality problem fixed point problem demicontractive mapping |