The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
From MaRDI portal
Publication:1856892
DOI10.1016/S0022-247X(02)00415-8zbMath1021.39014OpenAlexW2057230989MaRDI QIDQ1856892
Publication date: 11 February 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00415-8
Related Items (only showing first 100 items - show all)
The Ulam stability of matrix intuitionistic fuzzy normed spaces ⋮ GENERALIZED HYERS-ULAM STABILITY FOR A GENERAL CUBIC FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACES ⋮ Approximately Cubic n-Derivations on Non-archimedean Banach Algebras ⋮ Random Stability of an AQCQ Functional Equation: A Fixed Point Approach ⋮ Selections of generalized convex set-valued functions satisfying some inclusions ⋮ On Approximate Solutions of the Generalized Radical Cubic Functional Equation in Quasi-$beta$-Banach Spaces ⋮ An AQCQ-Functional Equation in Matrix Random Normed Spaces ⋮ ON HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES ⋮ Cubic and quartic ρ-functional inequalities in fuzzy Banach spaces ⋮ Approximate multi-Jensen-cubic mappings and a fixed point theorem ⋮ The structure of multimixed quadratic-cubic mappings and an application of fixed point theory ⋮ Nearly $k-th$ Partial Ternary Cubic $*$-Derivations On Non-Archimedean $\ell$-Fuzzy $C^{*}$-Ternary Algebras ⋮ Approximation by Cubic Mappings ⋮ General Solution and Hyers–Ulam Stability of DuoTrigintic Functional Equation in Multi-Banach Spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations ⋮ On the Hyers–Ulam–Rassias Approximately Ternary Cubic Higher Derivations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A new type of approximation for cubic functional equations in Lipschitz spaces ⋮ The stability of a cubic type functional equation with the fixed point alternative ⋮ Stability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation ⋮ Unnamed Item ⋮ Stability of two types of cubic functional equations in non-archimedean spaces ⋮ Duotrigintic functional equation and its stability in Banach spaces ⋮ On stability and nonstability of systems of functional equations ⋮ Additive double ρ-functional inequalities in β-homogeneous F-spaces ⋮ An AQCQ-Functional Equation in Matrix Paranormed Spaces ⋮ On the Stability of a General Quadratic-Cubic Functional Equation in Non-Archimedean Normed Spaces ⋮ On the new Hyers–Ulam–Rassias stability of the generalized cubic set-valued mapping in the incomplete normed spaces ⋮ On a Jensen-cubic functional equation and its Hyers-Ulam stability ⋮ Characterization and stability of multimixed additive-quartic mappings: a fixed point application ⋮ Equalities and inequalities for several variables mappings ⋮ Approximate cubic Lie derivations on \(\rho\)-complete convex modular algebras ⋮ Solution of a 3-D cubic functional equation and its stability ⋮ Stability for the functional equation of cubic type ⋮ On the stability of a \(k\)-cubic functional equation in intuitionistic fuzzy \(n\)-normed spaces ⋮ Hyers-Ulam stability quintic functional equation in F-spaces: direct method ⋮ Orthogonal stability of mixed type additive-cubic functional equations in multi-Banach spaces ⋮ A fixed point approach to the fuzzy stability of an additive-quadratic-cubic functional equation ⋮ A fixed point approach to the stability of an additive-quadratic-cubic-quartic functional equation ⋮ Functional equations in paranormed spaces ⋮ Stability of an AQCQ-functional equation in paranormed spaces ⋮ On the stability of an \(n\)-dimensional cubic functional equation ⋮ An AQCQ-functional equation in matrix Banach spaces ⋮ On approximate homomorphisms: A fixed point approach ⋮ Elementary remarks on Ulam-Hyers stability of linear functional equations ⋮ On the stability of an AQCQ-functional equation in random normed spaces ⋮ Lattictic non-Archimedean random stability of ACQ functional equation ⋮ Approximately cubic functional equations and cubic multipliers ⋮ Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach ⋮ On stability of a cubic functional equation in intuitionistic fuzzy normed spaces ⋮ Solutions and stability of generalized mixed type QC functional equations in random normed spaces ⋮ An AQCQ-functional equation in matrix normed spaces ⋮ Stability problem for Jensen-type functional equations of cubic mappings ⋮ On the stability of Euler-Lagrange type cubic mappings in quasi-Banach spaces ⋮ Fixed points and approximately octic mappings in non-Archimedean 2-normed spaces ⋮ Functional equations and inequalities in paranormed spaces ⋮ Generalized Hyers-Ulam stability of diffusion equation in the \(n\)-dimensional Euclidean space, \( \mathbb{R}^n\) ⋮ Fixed point method for set-valued functional equations ⋮ Generalized Ulam-Hyers stability of \((a,b;k>0)\)-cubic functional equation in intuitionistic fuzzy normed spaces ⋮ Nearly quartic mappings in \(\beta\)-homogeneous \(F\)-spaces ⋮ Bounded linear operators in quasi-normed linear space ⋮ Orthogonal stability of functional equations with the fixed point alternative ⋮ The stability of the quartic functional equation in various spaces ⋮ Intuitionistic fuzzy stability of a Jensen functional equation via fixed point technique ⋮ AQCQ-functional equation in non-Archimedean normed spaces ⋮ Ulam stability of a quartic functional equation ⋮ Approximation of mixed-type functional equations in Menger PN-spaces ⋮ The Hyers-Ulam stability of a functional equation deriving from quadratic and cubic functions in quasi-\(\beta \)-normed spaces ⋮ On approximate ternary \(m\)-derivations and \(\sigma\)-homomorphisms ⋮ Stability of a functional equation deriving from cubic and quadratic functions. ⋮ Nonlinear random stability via fixed-point method ⋮ General cubic-quartic functional equation ⋮ Solution and stability of a cubic functional equation ⋮ Solution and stability of a general mixed type cubic and quartic functional equation ⋮ On the stability of a cubic functional equation in random 2-normed spaces ⋮ Fuzzy stability of a cubic functional equation via fixed point technique ⋮ An AQCQ-functional equation in paranormed spaces ⋮ Stability of some set-valued functional equations ⋮ The generalized cubic functional equation and the stability of cubic Jordan \(\ast\)-derivations ⋮ Hyers-Ulam-Rassias stability of functional differential systems with point and distributed delays ⋮ Approximation of a general cubic functional equation in Felbin's type fuzzy normed linear spaces ⋮ Stability of an additive-cubic-quartic functional equation in multi-Banach spaces ⋮ Stability of a mixed additive and cubic functional equation in several variables in non-Archimedean spaces ⋮ On the stability of a mixed functional equation deriving from additive, quadratic and cubic mappings ⋮ Approximation of general \(\alpha\)-cubic functional equations in 2-Banach spaces ⋮ Stability of Euler-Lagrange-type cubic functional equations in quasi-Banach spaces ⋮ Fixed points and functional equations connected with derivations on Banach algebras ⋮ Fuzzy approximately cubic mappings ⋮ Stability problem of Hyers-Ulam-Rassias for generalized forms of cubic functional equation ⋮ On fuzzy approximately cubic type mapping in fuzzy Banach spaces ⋮ Euler-Lagrange type cubic operators and their norms on \(X_{\lambda }\) space ⋮ On the Ulam stability of mixed type QA mappings in IFN-spaces ⋮ Behavior of bi-cubic functions in Lipschitz spaces ⋮ Stability of cubic functional equation in the spaces of generalized functions ⋮ On a cubic equation and a Jensen-quadratic equation ⋮ On the stability of a cubic functional equation ⋮ A functional equation having monomials as solutions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Hyers-Ulam stability of the functional equations that have the quadratic property
- On the Hyers-Ulam-Rassias stability of a quadratic functional equation
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- On the stability of functional equations in Banach spaces
- Characterizations of inner product spaces
- Quadratic functional equation and inner product spaces
- On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality
- Proprieta’ locali e approssimazione di operatori
- The Stability of the Cosine Equation
- On the Stability of the Linear Mapping in Banach Spaces
- On the asymptoticity aspect of Hyers-Ulam stability of mappings
- On the Stability of the Linear Functional Equation
- Remarks on the stability of functional equations
- Approximate homomorphisms
- On the stability of the quadratic mapping in normed spaces
This page was built for publication: The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
