AN HYBRID EXTRAGRADIENT ALGORITHM FOR VARIATIONAL INEQUALITIES WITH PSEUDOMONOTONE EQUILIBRIUM CONSTRAINTS
In this paper, we propose a new hybrid extragradient algorithm for solving a variational inequality problem over the solution set of an equilibrium problem in Euclidean space . By using fixed point and hybrid plane cutting techniques, we show that this problem can be solved by an explicit extragradient method. Under certain conditions on parameters, the convergence of the iteration sequences generated by the algorithm are obtained.
How to Cite
Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.