Weak Convergence of the Sequence of Successive Approximations for Nonexpansive Mappings

@inproceedings{2007WeakCO,
  title={Weak Convergence of the Sequence of Successive Approximations for Nonexpansive Mappings},
  author={},
  year={2007}
}
  • Published 2007
In a recent paper [4] F. E. Browder and W. V. Petryshyn have shown that if a nonexpansive mapping T: X—>X of a Hubert space X into itself is asymptotically regular and has a t least one fixed point then, for any x in X, a weak limit of a weakly convergent subsequence of the sequence of successive approximations {Tx} is a fixed point of T. The main object of the present note is to strengthen considerably this result by showing that under the same assumptions the sequence {Tx} is necessarily… CONTINUE READING
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