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




Related Items (99)

On the stability of higher ring left derivationsThe stability of Cauchy equations in the space of Schwartz distributionsGENERALIZED HYERS-ULAM STABILITY FOR A GENERAL CUBIC FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACESA FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN BANACH ALGEBRASSurvey on recent Ulam stability results concerning derivationsEditorial: Ulam's type stability and fixed points methods 2016Remarks on Stability of the Linear Functional Equation in Single VariableApproximately Cubic n-Derivations on Non-archimedean Banach AlgebrasFixed Point Approach to the Stability of the Gamma Functional EquationOn the Stability of an Additive MappingFunctional equations in paranormed spacesHyers-Ulam stability of functional equations in several variablesNEARLY (θ1, θ2, θ3, ϕ)-DERIVATIONS ON HILBERT C*-MODULESApproximately additive Schwartz distributionsAn AQCQ-functional equation in matrix Banach spacesOn approximate homomorphisms: A fixed point approachOn the stability of an AQCQ-functional equation in random normed spacesOn the stability of set-valued functional equations with the fixed point alternativeStability of an additive functional equation in the spaces of generalized functionsSet-valued quadratic functional equationsSolutions and stability of generalized mixed type QC functional equations in random normed spacesAn AQCQ-functional equation in matrix normed spacesHyers-Ulam stability of functional equations in matrix normed spacesFixed points and stability for quadratic mappings in \(\beta\)-normed left Banach modules on Banach algebrasFunctional equations and inequalities in paranormed spacesFixed point method for set-valued functional equationsSolution and Hyers-Ulam-Rassias stability of generalized mixed type additive-quadratic functional equations in fuzzy Banach spacesApproximately ternary homomorphisms and derivations on \(C^\ast\)-ternary algebrasOn approximate ternary \(m\)-derivations and \(\sigma\)-homomorphismsUnnamed ItemStability of multi-additive mappings in \(\beta\)-Banach spacesApproximation by Cubic MappingsSet-Valued Additive Functional EquationsGeneral cubic-quartic functional equationA fixed point approach to superstability of generalized derivations on non-Archimedean Banach algebrasOn subadditive functions and \(\psi\)-additive mappingsUnnamed ItemOn Hyers-Ulam-Rassias stability of the Pexider equationOn approximately higher ring derivationsAn AQCQ-functional equation in paranormed spacesNearly ternary quadratic higher derivations on non-Archimedean ternary Banach algebras: a fixed point approachStability in generalized functionsStability of an additive-cubic-quartic functional equation in multi-Banach spacesSolution and stability of generalized mixed type additive and quadratic functional equation in non-Archimedean spacesFunctional inequalities associated with Cauchy additive functional equation in non-Archimedean spacesOn Hyperstability of the Two-Variable Jensen Functional Equation on Restricted DomainAn interview with Themistocles M. RassiasOn Hyers-Ulam-Rassias stability of functional equationsStability of an alternative functional equationOn the generalized Hyers-Ulam stability of module left derivationsOn approximation of approximate solutions of Dhombres' equationOn the Ulam stability of mixed type QA mappings in IFN-spacesOn the asymptoticity aspect of Hyers-Ulam stability of mappingsFunctional equations and inequalities in matrix paranormed spacesQuadratic-quartic functional equations in RN-spacesStability of an additive-cubic-quartic functional equationOn approximate \(C^*\)-ternary \(m\)-homomorphisms: a fixed point approachHyers-Ulam stability of additive set-valued functional equationsHyers-Ulam stability of general Jensen-type mappings in Banach algebras\(\theta\)-centralizers on semiprime Banach \(\ast\)-algebrasOn the stability of general cubic-quartic functional equations in Menger probabilistic normed spacesA distributional version of functional equations and their stabilitiesHyers-Ulam-Rassias stability of Cauchy equation in the space of Schwartz distributionsOn the Hyers-Ulam-Rassias stability of functional equations in \(n\)-variablesOn the generalized Hyers-Ulam-Rassias stability of an \(n\)-dimensional quadratic function equationA note on the stability of Jordan triple higher ring derivationsOn approximate additive-quartic and quadratic-cubic functional equations in two variables on Abelian groupsStability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional EquationΨ-Aditive Mappings and Hyers–Ulam StabilityA Fixed Point Approach to the Stability of a Logarithmic Functional EquationOn a problem of G. Isac and Th. M. Rassias concerning the stability of mappingsQuasi-bounded mappings and complementarity problems depending of parametersA multi-singular fractional equation and the Hyers-Ulam stabilitySet-valued additive \(\rho \)-functional inequalitiesStability of a mixed type cubic-quartic functional equation in non-Archimedean spacesUnnamed ItemStability of a functional equation deriving from cubic and quartic functionsFunctional equations in matrix normed spacesNearly general septic functional equationApproximately quintic and sextic mappings form \(r\)-divisible groups into Šerstnev probabilistic Banach spaces: fixed point methodApproximate ternary Jordan derivations on Banach ternary algebrasOn approximate cubic homomorphismsSolution and stability of a mixed type additive, quadratic, and cubic functional equationStability of mixed type cubic and quartic functional equations in random normed spacesSuperstability for generalized module left derivations and generalized module derivations on a Banach module. IUnnamed ItemA general additive functional inequality and derivation in Banach algebrasA generalization of the Hyers-Ulam-Rassias stability of the Pexider equationComment 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 SpacesResults and Problems in Ulam Stability of Operatorial Equations and InclusionsOn the stability of functional equations in Banach spacesOn the stability of a functional equation deriving from an inequality of Popoviciu for convex functionsA generalization of the Hyers-Ulam-Rassias stability of Jensen's equationRemarks on the Hyers-Ulam stability of some systems of functional equationsPseudocharacters and the problem of expressibility for some groupsIntroducing of an orthogonally relation for stability of ternary cubic homomorphisms and derivations on C*-ternary algebrasScalar derivatives and scalar asymptotic derivatives: Properties and some applicationsThe space of (𝜓,𝛾)–additive mappings on semigroups




This page was built for publication: On the Hyers-Ulam stability of \(\psi\)-additive mappings