Strong Convergence Theorems of Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces

For a countable family {T-n}(n=1)(infinity) of strictly pseudo-contractions, a strong convergence of viscosity iteration is shown in order to find a common fixed point of {T-n}(n=1)(infinity) in either a p-uniformly convex Banach space which admits a weakly continuous duality mapping or a p-uniformly convex Banach space with uniformly Gateaux differentiable norm. As applications, at the end of the paper we apply our results to the problem of finding a zero of accretive operators. The main result extends various results existing in the current literature.