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Yitong Shi, Ziqi Zhu, A new hybrid Halpern-based extragradient algorithm for a pseudomonotone equilibrium problem and a fixed point problem of nonexpansive mappings in Banach spaces

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DOI: 10.23952/jano.6.2024.1.04
Volume 6, Issue 1, 1 April 2024, Pages 71-82

 

Abstract. In this paper, we propose a hybrid Halpern-based extragradient algorithm for finding a common solution of a pseudomonotone equilibrium problem and a fixed point problem of a nonexpansive mapping. We prove the strong convergence of the proposed algorithm under some mixed conditions. Some numerical examples are provided to illustrate the effectiveness of the proposed algorithm.

 

How to Cite this Article:
Y. Shi, Z. Zhu, A new hybrid Halpern-based extragradient algorithm for a pseudomonotone equilibrium problem and a fixed point problem of nonexpansive mappings in Banach spaces, J. Appl. Numer. Optim. 6 (2024), 71-82.