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초록
In this paper, we solve the following additive p-functional inequalities N (f (x+y)-f (x)-f (y), t) <= N (rho(2f (x +y)/2) - f (x)-f (y)), t) (0.1) and N (2f (x+2/2 - f (x)-f (y),t) <= N(rho(f (x+y)-f (x)-f (y)),t) (0.2) in fuzzy normed spaces, where rho is a fixed real number with vertical bar rho vertical bar < 1. Using the fixed point method, we prove the Hyers-Ulam stability of the additive p-functional inequalities (0.1) and (0.2) in fuzzy Banach spaces.
키워드
fuzzy Banach space; additive rho-functional inequality; fixed point method; Hyers-Ulam stability; ASTERISK-HOMOMORPHISMS; STABILITY; SUPERSTABILITY; DERIVATIONS; EQUATION
- 제목
- ADDITIVE ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES
- 저자
- Kim, Ji-Hye; Anastassiou, George A.; Park, Choonkil
- 발행일
- 2016-12
- 유형
- Article
- 권
- 21
- 호
- 6
- 페이지
- 1115 ~ 1126