On the Hyers-Ulam stability of \(\psi\)-additive mappings
From MaRDI portal
Publication:1803998
DOI10.1006/jath.1993.1010zbMath0770.41018OpenAlexW2023257378MaRDI QIDQ1803998
George Isac, Themistocles M. Rassias
Publication date: 29 June 1993
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.1993.1010
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by other special function classes (41A30)
Related Items (99)
On the stability of higher ring left derivations ⋮ The stability of Cauchy equations in the space of Schwartz distributions ⋮ GENERALIZED HYERS-ULAM STABILITY FOR A GENERAL CUBIC FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACES ⋮ A FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN BANACH ALGEBRAS ⋮ Survey on recent Ulam stability results concerning derivations ⋮ Editorial: Ulam's type stability and fixed points methods 2016 ⋮ Remarks on Stability of the Linear Functional Equation in Single Variable ⋮ Approximately Cubic n-Derivations on Non-archimedean Banach Algebras ⋮ Fixed Point Approach to the Stability of the Gamma Functional Equation ⋮ On the Stability of an Additive Mapping ⋮ Functional equations in paranormed spaces ⋮ Hyers-Ulam stability of functional equations in several variables ⋮ NEARLY (θ1, θ2, θ3, ϕ)-DERIVATIONS ON HILBERT C*-MODULES ⋮ Approximately additive Schwartz distributions ⋮ An AQCQ-functional equation in matrix Banach spaces ⋮ On approximate homomorphisms: A fixed point approach ⋮ On the stability of an AQCQ-functional equation in random normed spaces ⋮ On the stability of set-valued functional equations with the fixed point alternative ⋮ Stability of an additive functional equation in the spaces of generalized functions ⋮ Set-valued quadratic functional equations ⋮ Solutions and stability of generalized mixed type QC functional equations in random normed spaces ⋮ An AQCQ-functional equation in matrix normed spaces ⋮ Hyers-Ulam stability of functional equations in matrix normed spaces ⋮ Fixed points and stability for quadratic mappings in \(\beta\)-normed left Banach modules on Banach algebras ⋮ Functional equations and inequalities in paranormed spaces ⋮ Fixed point method for set-valued functional equations ⋮ Solution and Hyers-Ulam-Rassias stability of generalized mixed type additive-quadratic functional equations in fuzzy Banach spaces ⋮ Approximately ternary homomorphisms and derivations on \(C^\ast\)-ternary algebras ⋮ On approximate ternary \(m\)-derivations and \(\sigma\)-homomorphisms ⋮ Unnamed Item ⋮ Stability of multi-additive mappings in \(\beta\)-Banach spaces ⋮ Approximation by Cubic Mappings ⋮ Set-Valued Additive Functional Equations ⋮ General cubic-quartic functional equation ⋮ A fixed point approach to superstability of generalized derivations on non-Archimedean Banach algebras ⋮ On subadditive functions and \(\psi\)-additive mappings ⋮ Unnamed Item ⋮ On Hyers-Ulam-Rassias stability of the Pexider equation ⋮ On approximately higher ring derivations ⋮ An AQCQ-functional equation in paranormed spaces ⋮ Nearly ternary quadratic higher derivations on non-Archimedean ternary Banach algebras: a fixed point approach ⋮ Stability in generalized functions ⋮ Stability of an additive-cubic-quartic functional equation in multi-Banach spaces ⋮ Solution and stability of generalized mixed type additive and quadratic functional equation in non-Archimedean spaces ⋮ Functional inequalities associated with Cauchy additive functional equation in non-Archimedean spaces ⋮ On Hyperstability of the Two-Variable Jensen Functional Equation on Restricted Domain ⋮ An interview with Themistocles M. Rassias ⋮ On Hyers-Ulam-Rassias stability of functional equations ⋮ Stability of an alternative functional equation ⋮ On the generalized Hyers-Ulam stability of module left derivations ⋮ On approximation of approximate solutions of Dhombres' equation ⋮ On the Ulam stability of mixed type QA mappings in IFN-spaces ⋮ On the asymptoticity aspect of Hyers-Ulam stability of mappings ⋮ Functional equations and inequalities in matrix paranormed spaces ⋮ Quadratic-quartic functional equations in RN-spaces ⋮ Stability of an additive-cubic-quartic functional equation ⋮ On approximate \(C^*\)-ternary \(m\)-homomorphisms: a fixed point approach ⋮ Hyers-Ulam stability of additive set-valued functional equations ⋮ Hyers-Ulam stability of general Jensen-type mappings in Banach algebras ⋮ \(\theta\)-centralizers on semiprime Banach \(\ast\)-algebras ⋮ On the stability of general cubic-quartic functional equations in Menger probabilistic normed spaces ⋮ A distributional version of functional equations and their stabilities ⋮ Hyers-Ulam-Rassias stability of Cauchy equation in the space of Schwartz distributions ⋮ On the Hyers-Ulam-Rassias stability of functional equations in \(n\)-variables ⋮ On the generalized Hyers-Ulam-Rassias stability of an \(n\)-dimensional quadratic function equation ⋮ A note on the stability of Jordan triple higher ring derivations ⋮ On approximate additive-quartic and quadratic-cubic functional equations in two variables on Abelian groups ⋮ Stability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation ⋮ Ψ-Aditive Mappings and Hyers–Ulam Stability ⋮ A Fixed Point Approach to the Stability of a Logarithmic Functional Equation ⋮ On a problem of G. Isac and Th. M. Rassias concerning the stability of mappings ⋮ Quasi-bounded mappings and complementarity problems depending of parameters ⋮ A multi-singular fractional equation and the Hyers-Ulam stability ⋮ Set-valued additive \(\rho \)-functional inequalities ⋮ Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces ⋮ Unnamed Item ⋮ Stability of a functional equation deriving from cubic and quartic functions ⋮ Functional equations in matrix normed spaces ⋮ Nearly general septic functional equation ⋮ Approximately quintic and sextic mappings form \(r\)-divisible groups into Šerstnev probabilistic Banach spaces: fixed point method ⋮ Approximate ternary Jordan derivations on Banach ternary algebras ⋮ On approximate cubic homomorphisms ⋮ Solution and stability of a mixed type additive, quadratic, and cubic functional equation ⋮ Stability of mixed type cubic and quartic functional equations in random normed spaces ⋮ Superstability for generalized module left derivations and generalized module derivations on a Banach module. I ⋮ Unnamed Item ⋮ A general additive functional inequality and derivation in Banach algebras ⋮ A generalization of the Hyers-Ulam-Rassias stability of the Pexider equation ⋮ Comment on “Approximate ternary Jordan derivations on Banach ternary algebras” [Bavand Savadkouhi et al. J. Math. Phys. 50, 042303 (2009)] ⋮ An AQCQ-Functional Equation in Matrix Paranormed Spaces ⋮ Results and Problems in Ulam Stability of Operatorial Equations and Inclusions ⋮ On the stability of functional equations in Banach spaces ⋮ On the stability of a functional equation deriving from an inequality of Popoviciu for convex functions ⋮ A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation ⋮ Remarks on the Hyers-Ulam stability of some systems of functional equations ⋮ Pseudocharacters and the problem of expressibility for some groups ⋮ Introducing of an orthogonally relation for stability of ternary cubic homomorphisms and derivations on C*-ternary algebras ⋮ Scalar derivatives and scalar asymptotic derivatives: Properties and some applications ⋮ The space of (𝜓,𝛾)–additive mappings on semigroups
This page was built for publication: On the Hyers-Ulam stability of \(\psi\)-additive mappings