Convergence Theorems of a General Composite Iterative Method for Nonexpansive Semigroups in Banach Spaces.

We introduce a general composite iterative scheme for nonexpansive semigroups in Banach spaces. We establish some strong convergence theorems of the general iteration scheme under different control conditions. The results presented in this paper improve and extend the corresponding results of Marino and Xu (2006), and others, from Hilbert spaces to Banach spaces. [ABSTRACT FROM AUTHOR]