상세 보기
초록
In this paper, we solve the quadratic rho-functional inequalities parallel to f(x + y) + f(x - y) - 2f(x) - 2f(y)parallel to <= parallel to rho(2f(x+y)/2 + 2f(x - y)/2 - f(x) - f(y)parallel to, <=parallel to rho(f(x + y) + f(x - y) - 2f(x) - 2f(y))parallel to, where rho is a number with broken vertical bar p broken vertical bar < 1/2. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic rho is a functional inequalities (0.1) and (0.2) in normed spaces.
키워드
Hyers-Ulam stability; quadratic rho-functional inequality; fixed point; STABILITY; SUPERSTABILITY; HOMOMORPHISMS
- 제목
- QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN NORMED SPACES
- 저자
- Choi, Ikan; Kim, Sunghoon; Anastassiou, George A.; Park, Choonkil
- 발행일
- 2016-05
- 유형
- Article
- 권
- 20
- 호
- 5
- 페이지
- 949 ~ 956