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

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On the behavior of mappings which do not satisfy Hyers-Ulam stability
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by Themistocles M. Rassias and Peter Šemrl
Proc. Amer. Math. Soc. 114 (1992), 989-993
DOI: https://doi.org/10.1090/S0002-9939-1992-1059634-1

Abstract:

We find an example to show when the Hyers-Ulam stability does not occur for approximately linear mappings. We also investigate the behavior of such mappings.
References
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Bibliographic Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 989-993
  • MSC: Primary 47H99; Secondary 47H15
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1059634-1
  • MathSciNet review: 1059634