Inertial Iterative Method for Generalized Mixed Equilibrium Problem and Fixed Point Problem
Vahid Darvish, Grace Nnennaya Ogwo, Oyewole Kazeem Oyewole, Hammed Anuoluwapo Abass, Amirbek Aminovich Ikramov · European Journal of Pure and Applied Mathematics · 2025
In this paper, we study the generalized mixed equilibrium problem and the fixed point problem. We propose an inertial iterative method for approximating the common solution of a generalized mixed equilibrium problem of a monotone mapping and a fixed point problem for a Bregman strongly nonexpansive mapping in the framework of real reflexive Banach spaces. Under certain mild conditions, we obtain a strong convergence result of the proposed method. Finally, we present numerical examples to illustrate the applicability of our method.