상세 보기
초록
In this paper, we prove the Hyers-Ulam stability of inner product preserving mappings in Hilbert spaces for the following additive functional equation f(ax + by) = af(x) + bf(y).
키워드
additive functional equation; inner product preserving mapping Hyers-Ulam stability; Hilbert space; TERNARY BANACH-ALGEBRAS; ULAM-RASSIAS STABILITY; MATRIX NORMED MODULES; FIXED-POINT APPROACH; ASTERISK-HOMOMORPHISMS; WIGNER EQUATION; SPACES; DERIVATIONS; SUPERSTABILITY
- 제목
- FUNCTIONAL INEQUALITIES ASSOCIATED WITH INNER PRODUCT PRESERVING MAPPINGS
- 저자
- Lu, Gang; Anastassiou, George A.; Park, Choonkil; Jin, Yuanfeng
- 발행일
- 2015-06
- 유형
- Article
- 권
- 18
- 호
- 6
- 페이지
- 964 ~ 972