The stability of quadratic α-functional equations
- Authors
- Yun, Sungsik; Park, Choonkill
- Issue Date
- 2016
- Publisher
- INT SCIENTIFIC RESEARCH PUBLICATIONS
- Keywords
- Hyers-Ulam stability; quadratic alpha-functional equation; fixed point method; direct method; Banach space
- Citation
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v.9, no.6, pp.3980 - 3991
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
- Volume
- 9
- Number
- 6
- Start Page
- 3980
- End Page
- 3991
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/155518
- DOI
- 10.22436/jnsa.009.06.44
- ISSN
- 2008-1898
- Abstract
- In this paper, we investigate the quadratic alpha-functional equation
2f (x) + 2 f (y) - f (x y) + alpha(-2) f (alpha(x + y)), (1)
2f (x) + 2f (y) = f (x + y) + alpha(-2) f (alpha(x-y)), (2)
where alpha is a fixed nonzero real or complex number with alpha(-1) not equal +/-root 3.
Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the quadratic alpha-functional equations (1) and (2) in Banach spaces.
- Files in This Item
- There are no files associated with 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/155518)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.