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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Fixed points of antitone mappings
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by Zahava Shmuely PDF
Proc. Amer. Math. Soc. 52 (1975), 503-505 Request permission

Abstract:

We present a family of antitone mappings defined on complete atomic lattices which have the fixed point property. Two commuting mappings of the family have a common fixed point. An example is given of three commuting mappings of the family which do not have a common fixed point.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 52 (1975), 503-505
  • MSC: Primary 06A20
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0373982-X
  • MathSciNet review: 0373982