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

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