The stability of an additive (ρ1, ρ2)-functional inequality in Banach spacesopen access
- Authors
- Park, Choonkil
- Issue Date
- Mar-2019
- Publisher
- ELEMENT
- Keywords
- Hyers-Ulam stability; additive (rho(1), rho(2))-functional inequality; fixed point method; direct method; Banach space
- Citation
- JOURNAL OF MATHEMATICAL INEQUALITIES, v.13, no.1, pp.95 - 104
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL INEQUALITIES
- Volume
- 13
- Number
- 1
- Start Page
- 95
- End Page
- 104
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/148213
- DOI
- 10.7153/jmi-2019-13-07
- ISSN
- 1846-579X
- Abstract
- In this paper, we introduce and solve the following additive (rho(1), rho(2))-functional inequality parallel to f(x + y) - f(x)-f(y)parallel to <= parallel to rho(1)(f(x+y)+f(x-y)-2f(x))parallel to (1) +parallel to rho(2)(2f(x+ y/2) - f(x) - f(y)parallel to, where rho(1) and rho(2) are fixed nonzero complex numbers with root 2 vertical bar rho(1)vertical bar+vertical bar rho 2 vertical bar < 1. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (rho(1), rho(2))-functional inequality (1) in complex Banach spaces.
- 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/148213)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.