Applied Set-Valued Analysis and Optimization

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DOI: 10.23952/asvao.6.2024.3.10
Volume 6, Issue 3, 1 December 2024, Pages 385-412

 

Abstract. The paper aims to propose a two-step iterated method, which is derived from a regularized dynamical system of extragradient-type in terms of time discretizing, for solving an equilibrium problem. We prove that the iterative sequence generated by the method converges strongly to a solution of the equilibrium problem. Some numerical experiments are given to illustrate and compare the behavior of the new method with several other methods.

 
How to Cite this Article:
D.V. Hieu, N.H. Ha, The relaxed regularized method of extragradient type for equilibrium problems, Appl. Set-Valued Anal. Optim. 6 (2024), 385-412.