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Oluwatosin Temitope Mewomo, Emeka Chigamezu Godwin, Timilehin Opeyemi Alakoya, An Inertial scheme for approximating the solutions of pseudo-monotone equilibrium and common fixed point problems in Banach spaces

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DOI: 10.23952/asvao.7.2025.2.06
Volume 7, Issue 2, 1 August 2025, Pages 223-249

 

Abstract. In this paper, we propose a new iterative method for approximating a common solution of pseudo-monotone equilibrium problems and common fixed point problems of Bregman quasi-nonexpansive mappings in a p-uniformly convex and uniformly smooth Banach space. Under some weaker conditions, we obtain a strong convergence result. A variational inequality problem is also considered. We present numerical examples to illustrate and support our main convergence theorem.

 

How to Cite this Article:
O.T. Mewomo, E.C. Godwin, T.O. Alakoya, An Inertial scheme for approximating the solutions of pseudo-monotone equilibrium and common fixed point problems in Banach spaces, Appl. Set-Valued Anal. Optim. 7 (2025), 223-249.