상세 보기
초록
In this paper, we introduce and investigate the following additive rho-functional in-equalities N(f (x + y + z) - f (x) - f (y) - f (z), t) >= N (rho (2f (x + y/2 + z) - f (x) - f (y) - 2f(z)) , t), N (2f (x + y + z) - f (x) - f (y) - 2f (z), t) >= N (rho (2f (x + y + z/2) - f (x) - f (y) - f (z)) , t), N(f (x + y + z) - f(x) - f(y) - f (z), t) >= N (rho(2f (x + y + z/2) - f (x) - f (y) - f (z)) , t) in fuzzy normed spaces. Furthermore, we prove the Hyers-Ulam stability of the above additive rho-functional inequalities in fuzzy Banach spaces.
키워드
Hyers-Ulam stability; additive rho-functional inequality; fuzzy normed space; ASTERISK-HOMOMORPHISMS; STABILITY; SUPERSTABILITY; DERIVATIONS; EQUATION
- 제목
- 3-VARIABLE ADDITIVE ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES
- 저자
- Jung, Joonhyuk; Lee, Junehyeok; Anastassiou, George A.; Park, Choonkil
- 발행일
- 2017-04
- 유형
- Article
- 권
- 22
- 호
- 4
- 페이지
- 684 ~ 698