Convergence of the String-Averaging Algorithm for Common Fixed Point Problems with a Countable Family of Operators

We apply a string-averaging algorithm for common fixed point problems with a countable family of quasi-nonexpansive operators in an arbitrary normed space and show its convergence. Our results are an extension of the recent results by T. Y. Kong, H. Pajoohesh and G. T. Herman obtained for operators which are projections on convex closed sets in a finite-dimensional Euclidean space.