Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces

In this paper, we study a general iterative process strongly converging to a common fixed point of an asymptotically nonexpansive semigroup { T ( t ) : t ∈ R^ + } in the framework of reflexive and strictly convex spaces with a uniformly Gáteaux differentiable norm. The process also solves some variational inequalities. Our results generalize and extend many existing results in the research field.