Hyers - Ulam stability of the Cauchy functional equation on square-symmetric groupoids

Research output: Article

40 Citations (Scopus)

Abstract

The stability of the functional equation f (x ◇ y)= f (x) * f (y) (x, y ∈ X) is investigated, where f : X → Y and ◇, * are square-symmetric operations on the sets X and Y, respectively. The results presented include and generalize the classical theorem of Hyers obtained on the stability of the Cauchy functional equation in 1941.

Original languageEnglish
Pages (from-to)651-666
Number of pages16
JournalPublicationes Mathematicae
Volume58
Issue number4
Publication statusPublished - dec. 1 2001

ASJC Scopus subject areas

  • Mathematics(all)

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