An extragradient method for relaxed cocoercive variational inequality and equilibrium problems |
| |
Authors: | C Jaiboon P Kumam U W Humphries |
| |
Institution: | 1.Department of Mathematics, Faculty of Science,King Mongkut’s University of Technology Thonburi KMUTT,Bang-Mod, Bangkok,Thailand |
| |
Abstract: | The purpose of this paper is to investigate the problem of finding the common element of the set of common fixed points of
a countable family of nonexpansivemappings, the set of an equilibrium problem and the set of solutions of the variational
inequality problem for a relaxed cocoercive and Lipschitz continuous mapping in Hilbert spaces. Then, we show that the sequence
converges strongly to a common element of the above three sets under some parameter controlling conditions, which are connected
with Yao, Liou, Yao, Takahashi and many others. |
| |
Keywords: | nonexpansive mapping relaxed cocoercive mapping variational inequality fixed point equilibrium problem extragradient method |
本文献已被 维普 万方数据 SpringerLink 等数据库收录! |
|