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초록
Using the fixed point method, we prove the hyperstablity of the functional equation f (ax + by) = (a 2 + b)/2 f (x + y) + (a - b)/2 f (x - y), where a, b are different integers greater than 1, in the class of functions from a commutative group into a commutative complete metric group.
키워드
Hyers-Ulam stability; hyperstability; fixed point method; complete metric space; ULAM-RASSIAS STABILITY; FIXED-POINT APPROACH; NORMED SPACES; MAPPINGS; JENSEN
- 제목
- On the hyperstablity of a functional equation in commutative groups
- 저자
- Almahalebi, Muaadh; Park, Choonkil
- 발행일
- 2016-05
- 유형
- Article
- 권
- 20
- 호
- 5
- 페이지
- 826 ~ 833