%0 Journal Article
%T Strong Convergence of a Generalized Iterative Method for Semigroups of Nonexpansive Mappings in Hilbert Spaces
%A Piri Husain
%A Vaezi Hamid
%J Fixed Point Theory and Applications
%D 2010
%I Springer
%X Using -strongly accretive and -strictly pseudocontractive mapping, we introduce a general iterative method for finding a common fixed point of a semigroup of non-expansive mappings in a Hilbert space, with respect to a sequence of left regular means defined on an appropriate space of bounded real-valued functions of the semigroup. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality.
%U http://www.fixedpointtheoryandapplications.com/content/2010/907275