ORTHOGONAL STABILITY OF AN ADDITIVE FUNCTIONAL EQUATION IN BANACH MODULES OVER A C*-ALGEBRA

  • Kenary, Hassan Azadi
  • Park, Choonkil
  • Shin, Dong Yun
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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 stabilityorthogonally Cauchy-Jensen additive functional equationfixed pointnon-Archimedean Banach module over C*-algebraorthogonality spaceDERIVATIONS
제목
ORTHOGONAL STABILITY OF AN ADDITIVE FUNCTIONAL EQUATION IN BANACH MODULES OVER A C*-ALGEBRA
저자
Kenary, Hassan AzadiPark, ChoonkilShin, Dong Yun
발행일
2013-10
유형
Article
저널명
Journal of Computational Analysis and Applications
15
6
페이지
1057 ~ 1068