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arXiv:1510.08010 [math.OC]AbstractReferencesReviewsResources

A parallel hybrid method for equilibrium problems, variational inequalities and nonexpansive mappings in Hilbert space

Dang Van Hieu

Published 2015-10-27Version 1

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.

Comments: 16 pages
Journal: J. Korean Math.Soc. 52(2015), No. 2, pp. 373-388
Categories: math.OC
Subjects: 65Y05, 47H09, 47H10, 47J20
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