On the asymptotic behavior of iterates of nonexpansive mappings in Hilbert space
- Cite this article as:
- Pazy, A. Israel J. Math. (1977) 26: 197. doi:10.1007/BF03007669
LetT be a nonexpansive mapping on a closed convex subsetC of a real Hilbert spaceH. In the present note we deal with the weak convergence of the sequenceTnx and the sequenceSnx of the arithmetical means of the sequenceTnx, asn → ∞. We also give some results concerning the strong convergence ofSnx.