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ORTHOGONAL STABILITY OF AN ADDITIVE FUNCTIONAL EQUATION IN BANACH MODULES OVER A C*-ALGEBRA
- Issue Date
- Oct-2013
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; orthogonally Cauchy-Jensen additive functional equation; fixed point; non-Archimedean Banach module over C*-algebra; orthogonality space
- Citation
- Journal of Computational Analysis and Applications, v.15, no.6, pp 1057 - 1068
- Pages
- 12
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 15
- Number
- 6
- Start Page
- 1057
- End Page
- 1068
- ISSN
- 1521-1398
1572-9206
- Abstract
- 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.
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