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The purpose of this paper is to prove some new theorems of strong convergence to common solutions for two finite families of accretive mappings in a real uniformly smooth and uniformly convex Banach space by means of some new iterative algorithms with errors, which extend the corresponding works by some authors. As applications, the theorems of strong convergence to common fixed points of two finite families of pseudo-contractive mappings are presented.

Some new iterative algorithms with errors for common solutions of two finite families of accretive mappings in a Banach space