Journal of Nonlinear and Variational Analysis

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DOI: 10.23952/jnva.5.2021.4.01

Volume 5, Issue 4, 1 August 2021, Pages 493-518

 

Abstract. In this paper, we devise new iterative algorithms for solving pseudomonotone equilibrium problems in real Hilbert spaces. The advantage of our algorithms is that they require only one strongly convex programming problem at each iteration. Under suitable conditions, we establish the strong and weak convergence of the proposed algorithms. The results presented in the paper extend and improve some recent results in the literature. The performances and comparisons with some existing methods are presented through numerical examples.

 

How to Cite this Article:
Pham Thi Hoai, Ngo Thi Thuong, Nguyen The Vinh, Golden ratio algorithms for solving equilibrium problems in Hilbert spaces, J. Nonlinear Var. Anal. 5 (2021), 493-518.