Additive ρ-functional inequalities in non-archimedean 2-normed spaces
- Authors
- Wang, Z.; Park, C.; Shin, D.Y.
- Issue Date
- 2021
- Publisher
- American Institute of Mathematical Sciences
- Keywords
- additive ρ-functional equation; additive ρ-functional inequality; Hyers-Ulam stability; non-Archimedean 2-normed spaces
- Citation
- AIMS Mathematics, v.6, no.2, pp.1905 - 1919
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS Mathematics
- Volume
- 6
- Number
- 2
- Start Page
- 1905
- End Page
- 1919
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/144104
- DOI
- 10.3934/math.2021116
- ISSN
- 2473-6988
- Abstract
- In this paper, we solve the additive rho-functional inequalities:
parallel to f (x + y) - f(x) - f(y)parallel to <= parallel to rho(2f(x + y/2) - f(x) - f(y))parallel to, parallel to 2f (x + y/2) - f(x) - f(y)parallel to <= parallel to rho(f(x + y) - f(x) - f(y))parallel to,
where rho is a fixed non-Archimedean number with vertical bar rho vertical bar < 1. More precisely, we investigate the solutions of these inequalities in non-Archimedean 2-normed spaces, and prove the Hyers-Ulam stability of these inequalities in non-Archimedean 2-normed spaces. Furthermore, we also prove the Hyers-Ulam stability of additive rho-functional equations associated with these inequalities in non-Archimedean 2-normed 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/144104)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.