Additive s-functional inequality and hom-derivations in Banach algebras
- Authors
- Park, Choonkil; Lee, Jung Rye; Zhang, Xiaohong
- Issue Date
- Mar-2019
- Publisher
- SPRINGER BASEL AG
- Keywords
- Hyers-Ulam stability; hom-derivation in Banach algebra; additive s-functional inequality; fixed point method; direct method
- Citation
- JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v.21, no.1, pp.1 - 14
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
- Volume
- 21
- Number
- 1
- Start Page
- 1
- End Page
- 14
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/148182
- DOI
- 10.1007/s11784-018-0652-0
- ISSN
- 1661-7738
- Abstract
- In this paper, we introduce and solve the following additive s-functional inequality: ∥f(x+y)-f(x)-f(y)∥≤‖s(f(x-y)-f(x)-f(-y))‖,where s is a fixed nonzero complex number with | s| < 1. Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of the additive s-functional inequality (0.1) in complex Banach spaces. Furthermore, we prove the Hyers–Ulam stability of hom-derivations in complex Banach algebras.
- Files in This Item
-
Go to Link
- 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/148182)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.