Korean J. Math. Vol. 23 No. 3 (2015) pp.457-478
DOI: https://doi.org/10.11568/kjm.2015.23.3.457

A hybrid method for a system involving equilibrium problems, variational inequalities and nonexpansive semigroup

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Le Quang Thuy
Le Dung Muu


In this paper we propose an iteration hybrid method for approximating a point in the intersection of the solution-sets of pseudomonotone equilibrium and variational inequality problems and the fixed points of a semigroup-nonexpensive mappings in Hilbert spaces. The method is a combination of projection, extragradient-Armijo algorithms and Mannís method. We obtain a strong convergence for the sequences generated by the proposed method.

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