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ADDITIVE ρ-FUNCTIONAL EQUATIONS
- Authors
- Park, Choonkil; Jang, Sun Young
- Issue Date
- Jun-2017
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; additive rho-functional equation; non-Archimedean normed space; Banach space
- Citation
- Journal of Computational Analysis and Applications, v.22, no.6, pp 1035 - 1048
- Pages
- 14
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 22
- Number
- 6
- Start Page
- 1035
- End Page
- 1048
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we solve the additive rho-functional equations f(x + y) - f(x) - f(y) = rho(2f(x+y/2) - f(x) - f(y)), (0.1) 2f(x+y/2) - f(x) - f(y) = rho(f(x + y) - f(x) - f(y)) (0.2) where rho is a fixed non-Archimedean number or a fixed real or complex number with rho not equal 1. Using the direct method, we prove the Hyers-Ulam stability of the additive rho-functional equations (0.1) and (0.2) in non-Archimedean Banach spaces and in Banach spaces.
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