Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings

Title:	Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings
Authors:	Van Hieu, D. Muu, L.D. Anh, P.K.
Keywords:	Equilibrium problem;Hybrid method;Lipschitz-type continuity;Nonexpansive mapping;Parallel computation;Pseudomonotone bifunction
Issue Date:	2016
Publisher:	Springer New York LLC
Citation:	Scopus
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.
Description:	Numerical Algorithms Volume 73, Issue 1, 1 September 2016, Pages 197-217
URI:	http://link.springer.com/article/10.1007%2Fs11075-015-0092-5 http://repository.vnu.edu.vn/handle/VNU_123/33587
ISSN:	10171398
Appears in Collections:	Bài báo của ĐHQGHN trong Scopus