Abstract
An example is given of a contractionT defined on a bounded closed convex subset of Hilbert space for which ((I+T)/2)n does not converge.
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References
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Genel, A., Lindenstrauss, J. An example concerning fixed points. Israel J. Math. 22, 81–86 (1975). https://doi.org/10.1007/BF02757276
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DOI: https://doi.org/10.1007/BF02757276