Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings
Optimization and Control
2015-12-24 v1
Abstract
In this paper we propose and analyze three parallel hybrid extragradient methods for finding a common element of the set of solutions of equilibrium problems involving pseudomonotone bifunctions and the set of fixed points of nonexpansive mappings in a real Hilbert space. Based on parallel computation we can reduce the overall computational effort under widely used conditions on the bifunctions and the nonexpansive mappings.A simple numerical example is given to illustrate the proposed parallel algorithms.
Cite
@article{arxiv.1512.07296,
title = {Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings},
author = {Dang Van Hieu and Le Dung Muu and Pham Ky Anh},
journal= {arXiv preprint arXiv:1512.07296},
year = {2015}
}
Comments
21 pages, 1 table in Numerical Algorithms (2015)