TY - JOUR
T1 - Inertial Iterative Method for Generalized Mixed Equilibrium Problem and Fixed Point Problem
AU - Darvish, Vahid
AU - Ogwo, Grace Nnennaya
AU - Oyewole, Olawale Kazeem
AU - Abass, Hammed Anuoluwapo
AU - Ikramov, Amirbek Aminovich
N1 - Publisher Copyright:
© 2025 The Author(s).
PY - 2025/7
Y1 - 2025/7
N2 - 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.
AB - 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.
KW - Bregman strongly nonexpansive mapping
KW - Generalized mixed equilibrium problem
KW - fixed point problem
KW - inertial technique
UR - https://www.scopus.com/pages/publications/105013602650
U2 - 10.29020/nybg.ejpam.v18i3.6173
DO - 10.29020/nybg.ejpam.v18i3.6173
M3 - Article
AN - SCOPUS:105013602650
SN - 1307-5543
VL - 18
JO - European Journal of Pure and Applied Mathematics
JF - European Journal of Pure and Applied Mathematics
IS - 3
M1 - 6173
ER -