An iterative process for a finite family of Bregman totally quasi-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems in reflexive Banach spaces

The equilibrium problem and its generalizations had a great influence in the development of some branches pure applied sciences. problems theory provides natural novel approach for arising nonlinear analysis, physics engineering, image reconstruction, economics, finance, game optimization. In recent times, there were many methods order to solve generalizations. Some authors proposed iterative studied convergence such nonexpansive mappings setting Hilbert spaces Banach spaces. Note that generalized mixed is generalization an Bregman totally quasi-asymptotically mapping reflexive purpose this paper combine parallel method with distance projection introduce new hybrid process which find common solutions finite family system problems. After that, we prove iteration strongly converges initial element on intersection fixed point set solution As application, obatin strong results These are extensions improvements main [7, 8]. addition, numerical example provided illustrate obtained result.