The paper proposes a viscosity approximation algorithm for approximating fixed points. The study in this paper demonstrates that without having the prior estimations of operator norm and semicompactness of one‐parameter semigroups of nonexpansive mappings, the algorithm converges strongly to the solution of split equality generalized mixed equilibrium problem (SEGMEP).MSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25, 54H25