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

- Journal title : Journal of the Korean Mathematical Society
- Volume 52, Issue 2, 2015, pp.373-388
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2015.52.2.373

Title & Authors

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

Hieu, Dang Van;

Hieu, Dang Van;

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;

Language

English

Cited by

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