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Approximate fuzzy double derivations and fuzzy Lie *-double derivations
- Issue Date
- Oct-2015
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- *-double derivation; Double derivation; Fixed point method; Fuzzy banach *-algebra; Hyers-Ulam stability; Induced fuzzy lie C*-algebra
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.19, no.4, pp.678 - 692
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 19
- Number
- 4
- Start Page
- 678
- End Page
- 692
- ISSN
- 1521-1398
- Abstract
- Using the fixed point method, we prove the Hyers-Ulam stability of fuzzy double derivations and fuzzy Lie *-double derivations on fuzzy Banach algebras, fuzzy C*-algebras and fuzzy Lie C*-algebras associated with the following additive functional equation of n-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)) for a fixed integer n with n >= 2.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)