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arXiv · 1510.08010

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

Dang Van Hieu
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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.

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Dang Van Hieu. 2015-10-27. A parallel hybrid method for equilibrium problems, variational inequalities and nonexpansive mappings in Hilbert space. https://doi.org/10.4134/jkms.2015.52.2.373

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