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초록
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.
키워드
Hyers-Ulam stability; additive rho-functional equation; non-Archimedean normed space; Banach space; ULAM-RASSIAS STABILITY; SPACES
- 제목
- ADDITIVE ρ-FUNCTIONAL EQUATIONS
- 저자
- Park, Choonkil; Jang, Sun Young
- 발행일
- 2017-06
- 유형
- Article
- 권
- 22
- 호
- 6
- 페이지
- 1035 ~ 1048