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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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A nonlinear ergodic theorem for an amenable semigroup of nonexpansive mappings in a Hilbert space
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by Wataru Takahashi PDF
Proc. Amer. Math. Soc. 81 (1981), 253-256 Request permission

Abstract:

We prove a nonlinear ergodic theorem for noncommutative semigroups of nonexpansive mappings in a Hilbert space. Furthermore, we give a necessary and sufficient condition for a noncommutative semigroup to have a fixed point.
References
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 253-256
  • MSC: Primary 47H20; Secondary 47H09, 47H10
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0593468-X
  • MathSciNet review: 593468