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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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On the asymptoticity aspect of Hyers-Ulam stability of mappings
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by D. H. Hyers, G. Isac and Th. M. Rassias PDF
Proc. Amer. Math. Soc. 126 (1998), 425-430 Request permission

Abstract:

The object of the present paper is to prove an asymptotic analogue of Th. M. Rassias’ theorem obtained in 1978 for the Hyers-Ulam stability of mappings.
References
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Additional Information
  • D. H. Hyers
  • Affiliation: Department of Mathematics, University of Southern California, Los Angeles, California 90089-1113
  • G. Isac
  • Affiliation: Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Ontario, Canada K7K 5L0
  • Th. M. Rassias
  • Affiliation: Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece
  • Received by editor(s): December 11, 1995
  • Received by editor(s) in revised form: May 21, 1996, and July 29, 1996
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 425-430
  • MSC (1991): Primary 39B72, 47H15
  • DOI: https://doi.org/10.1090/S0002-9939-98-04060-X
  • MathSciNet review: 1415589