Approximation of involution in multi-banach algebras: Fixed point techniqueopen access
- Authors
- Movahednia, E.; Park, C.; Shin, D.Y.
- Issue Date
- 2021
- Publisher
- American Institute of Mathematical Sciences
- Keywords
- multi-Banach algebra; Hyers-Ulam stability; functional equation; fixed point technique; C∗-algebra
- Citation
- AIMS Mathematics, v.6, no.6, pp.5851 - 5868
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS Mathematics
- Volume
- 6
- Number
- 6
- Start Page
- 5851
- End Page
- 5868
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/144072
- DOI
- 10.3934/math.2021346
- ISSN
- 2473-6988
- 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.
- Files in This Item
-
- Appears in
Collections - 서울 자연과학대학 > 서울 수학과 > 1. Journal Articles
![qrcode](https://api.qrserver.com/v1/create-qr-code/?size=55x55&data=https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/144072)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.