Strong Convergence Theorems by Shrinking Projection Methods for Class <inline-formula> <graphic file="1687-1812-2011-681214-i1.gif"/></inline-formula> Mappings

Abstract

We prove a strong convergence theorem by a shrinking projection method for the class of mappings. Using this theorem, we get a new result. We also describe a shrinking projection method for a nonexpansive mapping on Hilbert spaces, which is the same as that of Takahashi et al. (2008).