Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings

Tiêu đềParallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings
Loại công bốJournal Article
Năm xuất bản2016
Tác giảVan Hieu, D, Muu, LDung, Anh, PKy
Tạp chíNumerical Algorithms
Tập73
Trang197–217
ISSN1572-9265
Tóm tắt

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.

URLhttp://dx.doi.org/10.1007/s11075-015-0092-5
DOI10.1007/s11075-015-0092-5