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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Fixed points and partial orders
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by Arne Brøndsted
Proc. Amer. Math. Soc. 60 (1976), 365-366
DOI: https://doi.org/10.1090/S0002-9939-1976-0417867-X
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Abstract:

It is observed that certain fixed point theorems may be derived from theorems on the existence of maximal elements in partially ordered sets.
References
  • Arne Brøndsted, On a lemma of Bishop and Phelps, Pacific J. Math. 55 (1974), 335–341. MR 380343
  • James Caristi and William A. Kirk, Geometric fixed point theory and inwardness conditions, The geometry of metric and linear spaces (Proc. Conf., Michigan State Univ., East Lansing, Mich., 1974) Lecture Notes in Math., Vol. 490, Springer, Berlin, 1975, pp. 74–83. MR 0399968
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Bibliographic Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 60 (1976), 365-366
  • MSC: Primary 47H10; Secondary 06A10, 54H25
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0417867-X
  • MathSciNet review: 0417867