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Hyers-Ulam Stability of General Jensen-Type Mappings in Banach Algebras
- Authors
- Lu, Gang; Park, Choonkil
- Issue Date
- Nov-2014
- Publisher
- SPRINGER BASEL AG
- Keywords
- Jensen-type mapping; Hyers-Ulam stability; homomorphism; derivation; complex Banach algebra; complex Banach lie algebra; hyperstability
- Citation
- RESULTS IN MATHEMATICS, v.66, no.3-4, pp.385 - 404
- Indexed
- SCIE
SCOPUS
- Journal Title
- RESULTS IN MATHEMATICS
- Volume
- 66
- Number
- 3-4
- Start Page
- 385
- End Page
- 404
- ISSN
- 1422-6383
- Abstract
- Using the fixed point method, we prove the Hyers-Ulam stability of homomorphisms in complex Banach algebras and complex Banach Lie algebras and also of derivations on complex Banach algebras and complex Banach Lie algebras for the general Jensen-type functional equation f(alpha x + beta y) + f(alpha x - beta y) = 2 alpha f(x) for any with alpha, beta is an element of R with alpha, beta not equal 0. Furthermore, we prove the hyperstability of homomorphisms in complex Banach algebras for the above functional equation with alpha = beta = 1.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)