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

Abstract

<p/> <p>We introduce a new general iterative method by using the <inline-formula> <graphic file="1687-1812-2010-262691-i1.gif"/></inline-formula>-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.</p