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Stability of the Cauchy-Jensen functional equation in C*-algebras: A fixed point approach
- Authors
- Park, Choonkil; An, Jong Su
- Issue Date
- May-2008
- Publisher
- Hindawi Publishing Corporation
- Citation
- Fixed Point Theory and Applications, pp 1 - 11
- Pages
- 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- Fixed Point Theory and Applications
- Start Page
- 1
- End Page
- 11
- ISSN
- 1687-1820
1687-1812
- Abstract
- we prove the Hyers-Ulam-Rassias stability of C*-algebra homomorphisms and of generalized derivations on C*-algebras for the following Cauchy-Jensen functional equation 2f((x + y)/2 + z) = f(x) + f(y) + 2f(z), which was introduced and investigated by Baak (2006). The concept of Hyers-Ulam-Rassias stability originated from the stability theorem of Th. M. Rassias that appeared in (1978).
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