A parallel hybrid method for equilibrium problems, variational inequalities and nonexpansive mappings in Hilbert space
Optimization and Control
2015-10-28 v1
Abstract
In this paper, a novel parallel hybrid iterative method is proposed for finding a common element of the set of solutions of a system of equilibrium problems, the set of solutions of variational inequalities for inverse strongly monotone mappings and the set of fixed points of a finite family of nonexpansive mappings in Hilbert space. Strong convergence theorem is proved for the sequence generated by the scheme. Finally, a parallel iterative algorithm for two finite families of variational inequalities and nonexpansive mappings is established.
Cite
@article{arxiv.1510.08010,
title = {A parallel hybrid method for equilibrium problems, variational inequalities and nonexpansive mappings in Hilbert space},
author = {Dang Van Hieu},
journal= {arXiv preprint arXiv:1510.08010},
year = {2015}
}
Comments
16 pages