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arXiv · 1510.08009

The common solutions to pseudomonotone equilibrium problems

Dang Van Hieu
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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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Dang Van Hieu. 2015-10-27. The common solutions to pseudomonotone equilibrium problems. https://arxiv.org/abs/1510.08009

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