Fixed points and stability of the Cauchy functional equation

Choonkil Park, Themistocles M. Rassias

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

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
Volume6
Issue number1
StatePublished - 2009 Sep 23

Keywords

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

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