An extragradient algorithm for strongly pseudomonotone equilibrium problems on Hadamard manifolds

Konrawut Khammahawong, Poom Kumam, Parin Chaipunya, Jen-Chih Yao, Ching-Feng Wen, Wachirapong Jirakitpuwapat

Abstract

In this article, we introduce two extragradient algorithms for solving equilibrium problems  in Hadamard manifolds. Furthermore, we prove that any sequence generated by the proposed algorithms converge to a solution of the equilibrium problems under suitable assumptions. A numerical experiment  of the proposed algorithms  are provided to support our convergence results.