For EDITORS

For READERS

All Issues

Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
On the strong convergence of a projection-based algorithm in Hilbert spaces
Liya Liu,Xiaolong Qin
Keywords:Hybrid extrapolation method, variational inequality problem, inertial method, pseudomonotone mapping.
Abstract:
      In this paper, we introduce a new projection-based algorithm for solving variational inequality problems with a Lipschitz continuous pseudo-monotone mapping in Hilbert spaces. We prove a strong convergence of the generated sequences. The numerical behaviors of the proposed algorithm on a test problem are illustrated and compared with previously known algorithms.