Fixed points and stability of the Cauchy functional equation

Choonkil Park, Themistocles M. Rassias

Research output: Contribution to journalArticle

8 Scopus citations


Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the Cauchy functional equation.

Original languageEnglish
JournalAustralian Journal of Mathematical Analysis and Applications
Issue number1
StatePublished - 2009 Sep 23


  • Cauchy functional equation
  • Derivation on Banach algebra
  • Fixed point
  • Generalized Hyers-Ulam stability
  • Homomorphism in Banach algebra

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