Nearly quadratic \(n\)-derivations on non-Archimedean Banach algebras
DOI10.1155/2012/961642zbMath1248.39033OpenAlexW2094394438WikidataQ58700893 ScholiaQ58700893MaRDI QIDQ444326
Badrkhan Alizadeh, Gwang Hui Kim, Young Whan Lee, Madjid Eshaghi-Gordji
Publication date: 14 August 2012
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/961642
Hyers-Ulam stabilityBanach fixed point theoremnon-Archimedean Banach algebrasnon-Archimedean Banach modulesquadratic \(n\)-derivations
Banach algebras of continuous functions, function algebras (46J10) 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) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of a mixed additive and quadratic functional equation in non-Archimedean Banach modules
- Stability and superstability of ring homomorphisms on non-archimedean Banach algebras
- Nearly ring homomorphisms and nearly ring derivations on non-Archimedean Banach algebras
- A fixed point approach to superstability of generalized derivations on non-Archimedean Banach algebras
- Stability of cubic and quartic functional equations in non-Archimedean spaces
- Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces
- Solution of a problem of Ulam
- On approximation of approximately linear mappings by linear mappings
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- On the stability of a general mixed additive-cubic functional equation in random normed spaces
- The fixed point method for fuzzy approximation of a functional equation associated with inner product spaces
- A fixed point approach to the stability of a general mixed AQCQ-functional equation in non-Archimedean normed spaces
- Stability of the Cauchy functional equation over \(p\)-adic fields
- Stability of multi-Jensen mappings in non-Archimedean normed spaces
- A FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN BANACH ALGEBRAS
- GENERALIZED ULAM-HYERS STABILITIES OF QUARTIC DERIVATIONS ON BANACH ALGEBRAS
- Proprieta’ locali e approssimazione di operatori
- On the Stability of the Linear Mapping in Banach Spaces
- Stability of a general mixed additive-cubic functional equation in non-Archimedean fuzzy normed spaces
- Intuitionistic fuzzy stability of a general mixed additive-cubic equation
- ON STABILITY OF THE FUNCTIONAL EQUATIONS HAVING RELATION WITH A MULTIPLICATIVE DERIVATION
- On the Stability of the Linear Functional Equation
- Remarks on the stability of functional equations
- On the stability of the quadratic mapping in normed spaces
