^{}Department of Mathematics, Ha Noi University of Science, VNU. 334, Nguyen Trai Street, Ha Noi, Vietnam.

Receive Date: 21 January 2015,
Revise Date: 16 July 2015,
Accept Date: 06 August 2015

Abstract

In this paper, we propose two iterative methods for finding a common solution of a finite family of equilibrium problems for pseudomonotone bifunctions. The first is a parallel hybrid extragradient-cutting algorithm which is extended from the previously known one for variational inequalities to equilibrium problems. The second is a new cyclic hybrid extragradient-cutting algorithm. In the cyclic algorithm, using the known techniques, we can perform and develop practical numerical experiments.

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