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On non-expansive mappings of Banach spaces

Published online by Cambridge University Press:  24 October 2008

Michael Edelstein
Michael Edelstein
Affiliation:
Department of Mathematics, Cornell University
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Extract

Let f: X → X be a mapping of the metric space X into itself. We call f non-expansive if

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 3 , July 1964 , pp. 439 - 447
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1) Edelstein, M. A theorem on fixed points under isometries. American Math. Monthly, 70 (1963), 298–300.CrossRefGoogle Scholar
(2) Edelstein, M. On nonexpansive mappings. Proc. American Math. Soc. (to appear).Google Scholar
(3) Yosida, Kosaku and Kakutani, Shizuo. Operator-theoretical treatment of Markoff's process and mean ergodic theorem. Ann. of Math. 42 (1941), 188–228.CrossRefGoogle Scholar