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Fixed points and stability of an additive functional equation of n-Apollonius type in C*-algebrasopen access
- Authors
- Moradlou, Fridoun; Vaezi, Hamid; Park, Choonkil
- Issue Date
- Sep-2008
- Publisher
- HINDAWI LTD
- Citation
- ABSTRACT AND APPLIED ANALYSIS, pp.1 - 13
- Indexed
- SCIE
SCOPUS
- Journal Title
- ABSTRACT AND APPLIED ANALYSIS
- Start Page
- 1
- End Page
- 13
- ISSN
- 1085-3375
- Abstract
- Using the fixed point method, we prove the generalized Hyers-Ulam stability of C*-algebra homomorphisms and of generalized derivations on C*-algebras for the following functional equation of Apollonius type Sigma(n)(i=1)f(z - x(i)) = -(1/n)Sigma(1 <= i<j <= n)f(x(i) + x(j)) + nf(z - (1/n(2))Sigma(n)(i=1)x(i)).
- Appears in
Collections - 서울 자연과학대학 > 서울 수학과 > 1. Journal Articles
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)