Mean Ergodic Theorems for Mean Iterative Sequences with Nonexpansive Mappings in Hilbert Spaces
Zheng Zhang · Journal of Yibin University · 2011
To let C be a closed convex subset of a Hilbert space,{Tn} is a sequence of non-expansive self-mapping of C.To define iterative sequence {zn}∶x1=x∈C, xn+1=αnxn+(1-αn)Tnxn zn=1n∑nk=1xkobtaining a weak convergence theorem for such {zn} by methods of projection and recursion,it extends the results of M.Akatsuka,K.Aoyama and W.Takahashi.