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초록
In this paper, we solve the following quadratic rho-functional inequalities N (f(x + y) + f (x - y) - 2f (x) - 2f(y) - rho(2f (x + y/2) + 2f (x- y/2) - f(x) - f(y),t) >= t/t + phi(x, y), (0.1) where rho is a fixed real number with rho not equal 1/2. Using the direct method, we prove the Hyers-Ulam stability of the quadratic rho-functional inequalities (0.1) and (0.2) in fuzzy Banach spaces.
키워드
fuzzy Banach space; quadratic rho-functional inequality; Hyers-Ulam stability; ASTERISK-HOMOMORPHISMS; STABILITY; SUPERSTABILITY
- 제목
- ON QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES
- 저자
- Park, Choonkil; Jang, Sun Young; Yun, Sungsik
- 발행일
- 2017-06
- 유형
- Article
- 권
- 22
- 호
- 7
- 페이지
- 1189 ~ 1197