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Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approachopen access
- Issue Date
- Jun-2012
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Keywords
- Quadratic functional equation; quadratic derivation; superstability; non Archimedean algebra; fixed point
- Citation
- FIXED POINT THEORY AND APPLICATIONS, pp.1 - 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- FIXED POINT THEORY AND APPLICATIONS
- Start Page
- 1
- End Page
- 8
- ISSN
- 1687-1820
- Abstract
- Using fixed point method, we prove the Hyers-Ulam stability and the superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras. Indeed, we investigate the Hyers-Ulam stability and the superstability of the system of functional equations {f([abc]) = [f(a)b(2)c(2)] + [a(2)f(b)c(2)] + [a(2)b(2)f(c)]; g([abc]) = [g(a)b(2)c(2)] + [a(2)f(b)c(2)] + [a(2)b(2)f(c)]; g(ux + vy) + g(ux - vy) = 2u(2)g(x) + 2v(2)g(y); in non-Archimedean ternary Banach algebras.
- 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)