Israel Journal of Mathematics

, Volume 26, Issue 2, pp 197–204

On the asymptotic behavior of iterates of nonexpansive mappings in Hilbert space



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.


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Copyright information

© Hebrew University 1977

Authors and Affiliations

  • A. Pazy
    • 1
  1. 1.Institute of MathematicsThe Hebrew University of JerusalemJerusalemIsrael

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