Journal of Applied and Numerical Optimization

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DOI: 10.23952/jano.3.2021.1.13
Volume 3, Issue 1, 30 April 2021, Pages 215-229

 

Abstract. In this paper, we first introduce a relaxed inertial algorithm for solving a pseudomonotone equilibrium problem with a Lipschitz-type condition in a Hilbert space. The algorithm is constructed around the proximal-like mapping and the inertial technique. The weak convergence of the algorithm is proved under some mild conditions. We also present a modified version of the first algorithm which can be implemented more easily without the prior knowledge of the Lipschitz-type constant of bifunction. Finally, several experiments are performed to illustrate the numerical behavior of the new algorithms, and also to show their computational efficiency over others.

 

How to Cite this Article:
Dang Van Hieu, Hoang Ngoc Duong, Buu Huu Thai, Convergence of relaxed inertial methods for equilibrium problems, J. Appl. Numer. Optim. 3 (2021), 215-229.