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On the Hyers-Ulam-Rassias Stability of Mappings

  • P. Găvruţă
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 430)

Abstract

We give an answer to a question of Hyers and Rassias [5] concerning the stability of mappings.

Key words and phrases

Stability of mappings Additive mapping Banach space 

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References

  1. 1.
    P. Găvruţă A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. 184 (1994), 431–436.MathSciNetzbMATHCrossRefGoogle Scholar
  2. 2.
    P. Găvruţă, M. Hossu, D. Popescu, C. Căprău On the stability of mappings, Bull. Appl. Math. Techn. Univ. Budapest 83 (1994), 169–176.Google Scholar
  3. 3.
    P. Găvruţă, M. Hossu, D. Popescu, C. Căprău, On the stability of mappings and an answer to a problem of Th. M. Rassias, Annales Math. Blaise Pascal (1995), 55-60.Google Scholar
  4. 4.
    P. Găvruţă, On the approximately linear mapping, (submitted).Google Scholar
  5. 5.
    D. H. Hyers and Th. M. Rassias Approximate homomorphism, Aequationes Math. 44 (1992), 125–153.MathSciNetzbMATHCrossRefGoogle Scholar
  6. 6.
    S. M. Jung On the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. 204 (1996), 221–226.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • P. Găvruţă
    • 1
  1. 1.Department of MathematicsTechnical UniversityTimi soaraRomania

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