Solution and stability of generalized mixed type additive and quadratic functional equation in non-Archimedean spaces
DOI10.1007/s11565-011-0138-0zbMath1304.39031OpenAlexW2040082546MaRDI QIDQ473489
S. Kaboli Gharetapeh, Somayyeh Zolfaghari, Madjid Eshaghi-Gordji, Ali Ebadian, Chun-Gil Park
Publication date: 24 November 2014
Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11565-011-0138-0
Hyers-Ulam-Rassias stabilityquadratic functional equationadditive functional equationnon-Archimedean space
Stability, separation, extension, and related topics for functional equations (39B82) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On approximate additive-quartic and quadratic-cubic functional equations in two variables on Abelian groups
- Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
- Stability of an additive-cubic-quartic functional equation
- Approximately \(J^*\)-homomorphisms: a fixed point approach
- Stability of cubic and quartic functional equations in non-Archimedean spaces
- Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces
- Approximately \(n\)-Jordan homomorphisms on Banach algebras
- Stability of a functional equation deriving from cubic and quartic functions
- On the generalized Hyers-Ulam-Rassias stability of quadratic functional equations
- On approximate cubic homomorphisms
- Solution and stability of a mixed type additive, quadratic, and cubic functional equation
- Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces
- Generalized Hyers-Ulam stability of generalized \((N,K)\)-derivations
- Stability of mixed type cubic and quartic functional equations in random normed spaces
- On stability of additive mappings
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- On the stability of functional equations and a problem of Ulam
- On the Hyers-Ulam stability of \(\psi\)-additive mappings
- On a general Hyers-Ulam stability result
- On the stability of the quadratic mapping in Banach modules
- Generalized quadratic mappings in several variables
- Quadratic functional equation and inner product spaces
- Stability of the Cauchy functional equation over \(p\)-adic fields
- On the stability of the linear transformation in Banach spaces
- STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION OF TWO VARIABLES IN F-SPACES
- STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONS
- Stability of functional equations in non-Archimedean spaces
- Approximate ternary Jordan derivations on Banach ternary algebras
- Proprieta’ locali e approssimazione di operatori
- On the Stability of the Linear Mapping in Banach Spaces
- Comment on “Approximate ternary Jordan derivations on Banach ternary algebras” [Bavand Savadkouhi et al. J. Math. Phys. 50, 042303 (2009)]
- Classes of transformations and bordering transformations
- On the Stability of the Linear Functional Equation
- Remarks on the stability of functional equations
- Stability of functional equations in several variables
- On the stability of the quadratic mapping in normed spaces
This page was built for publication: Solution and stability of generalized mixed type additive and quadratic functional equation in non-Archimedean spaces
