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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The fixed point property and unbounded sets in Hilbert space
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by William O. Ray PDF
Trans. Amer. Math. Soc. 258 (1980), 531-537 Request permission

Abstract:

It is shown that a closed convex subset K of a real Hilbert space H has the fixed point property for nonexpansive mappings if and only if K is bounded.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 258 (1980), 531-537
  • MSC: Primary 47H09; Secondary 47H10
  • DOI: https://doi.org/10.1090/S0002-9947-1980-0558189-1
  • MathSciNet review: 558189