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http://dx.doi.org/10.4134/JKMS.2015.52.2.373

A PARALLEL HYBRID METHOD FOR EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITIES AND NONEXPANSIVE MAPPINGS IN HILBERT SPACE  

Hieu, Dang Van (Department of Mathematics Hanoi University of Science)
Publication Information
Journal of the Korean Mathematical Society / v.52, no.2, 2015 , pp. 373-388 More about this Journal
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.
Keywords
hybrid method; equilibrium problem; variational inequality; parallel computation;
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