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초록
Using fixed point method, we prove the Hyers-Ulam stability of the following additive functional equation Sigma(m)(i=1) f(ma(i) + Sigma(m)(j=1,j not equal 1) a(j)) + f (Sigma(m)(i=1) a(i)) = 2 f (Sigma(m)(i=1) a(i)) in Banach modules over a unital C*-algebra and in non-Archimedean Banach modules over a unital C*-algebra.
키워드
Hyers-Ulam stability; orthogonally Cauchy-Jensen additive functional equation; fixed point; non-Archimedean Banach module over C*-algebra; orthogonality space; DERIVATIONS
- 제목
- ORTHOGONAL STABILITY OF AN ADDITIVE FUNCTIONAL EQUATION IN BANACH MODULES OVER A C*-ALGEBRA
- 저자
- Kenary, Hassan Azadi; Park, Choonkil; Shin, Dong Yun
- 발행일
- 2013-10
- 유형
- Article
- 권
- 15
- 호
- 6
- 페이지
- 1057 ~ 1068