Additive ρ-functional inequalities in normed spaces
- Authors
- Choi, Jiyun; Seong, Juno; Park, Choonkill
- Issue Date
- 2016
- Publisher
- INT SCIENTIFIC RESEARCH PUBLICATIONS
- Keywords
- Additive ρ-functional inequality; fixed point; Hyers-Ulam stability
- Citation
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v.9, no.1, pp.247 - 253
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
- Volume
- 9
- Number
- 1
- Start Page
- 247
- End Page
- 253
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/155501
- DOI
- 10.22436/jnsa.009.01.23
- ISSN
- 2008-1898
- 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 (1)
and
parallel to 2f (x + y)/2) - f(x) - f(y) parallel to <= parallel to rho(f (x + y) - f(x) - f(y)) parallel to, (2)
where rho is a number with vertical bar rho vertical bar < 1. Using the fixed point method, we prove the Hyers-Ulam stability of the additive functional inequalities (1) and (2) in normed spaces.
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