J. Korean Math. Soc. 2015; 52(2): 373-388
Printed March 1, 2015
https://doi.org/10.4134/JKMS.2015.52.2.373
Copyright © The Korean Mathematical Society.
Dang Van Hieu
Hanoi University of Science
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
MSC numbers: 65Y05, 47H09, 47H10, 47J20
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