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We call a sequence {x n } in Hilbert space “spherical” if there existsusuch that lim‖x n −u‖ exists and is finite. If moreoveruis a weak accumulation point of the sequence, we call the sequence “spherically convergent.”We demonstrate that for large classes of nonexpansive (possibly nonstationary) discrete-time processes in Hilbert space the iterates are spherically convergent. Basic...
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