English

The common solutions to pseudomonotone equilibrium problems

Optimization and Control 2015-10-28 v1

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.

Keywords

Cite

@article{arxiv.1510.08009,
  title  = {The common solutions to pseudomonotone equilibrium problems},
  author = {Dang Van Hieu},
  journal= {arXiv preprint arXiv:1510.08009},
  year   = {2015}
}

Comments

12 pages, accepted for publication in Bull. Iranian Math. Soc. (2015)

R2 v1 2026-06-22T11:30:18.229Z