Modified monotone hybrid inertial algorithm for generalized nonexpansive maps, maximal monotone operators and generalized mixed equilibrium problems
European Journal of Mathematics and Applications · 2024
The aim of this article is to Propose a modified monotone hybrid inertial algorithm for approximating a common fixed point of a family of generalized nonexpansive maps, maximal monotone operators and a solution of a system of generalized mixed equilibrium problems in Banach spaces.Strong convergence of sequences generated by the propose algorithm has been establish in respect to this problems.Our theorems are significant improvement of some recent results.B(x, y) ≥ 0, ∀y ∈ C.The solutions set of equilibrium problems is given by EP (B) = {x ∈ C : B(x, y) ≥ 0, ∀y ∈ C}.