VISCOSITY APPROXIMATION FOR FIXED POINTS OF NONEXPANSIVE SEMIGROUP IN BANACH SPACES

Abstract

In this paper, in a reflexive and strictly convex Banach space with a uniformly G\hat{a}teaux differentiable norm, we obtain the convergence theorems of the implicit iteration process and the explicit iteration process for the nonexpansive semigroup. Our results improve and generalize some previous results.