Approximation of involution in multi-banach algebras: Fixed point technique

Ehsan Movahednia, Choonkil Park, Dong Yun Shin

Research output: Contribution to journalArticlepeer-review

Abstract

In this research work, we demonstrate the Hyers-Ulam stability for Cauchy-Jensen functional equation in multi-Banach algebras by the fixed point technique. In fact, we prove that for a function which is approximately Cauchy-Jensen in multi Banach algebra, there is a unique involution near it. Next, we show that under some conditions the involution is continuous, the multi-Banach algebra becomes multi-C-algebra and the Banach algebra is self-adjoint.

Original languageEnglish
Pages (from-to)5851-5868
Number of pages18
JournalAIMS Mathematics
Volume6
Issue number6
DOIs
StatePublished - 2021

Keywords

  • C-algebra
  • Fixed point technique
  • Functional equation
  • Hyers-Ulam stability
  • Multi-Banach algebra

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