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We introduce a new general iterative method by using the  Open image in new window -mapping for finding a common fixed point of a finite family of nonexpansive mappings in the framework of Hilbert spaces. A strong convergence theorem of the purposed iterative method is established under some certain control conditions. Our results improve and extend the results announced by many others.

A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces