On the stability of the linear transformation in Banach spaces

DOI10.2969/jmsj/00210064zbMath0040.35501OpenAlexW2012981171MaRDI QIDQ2648906

Tosio Aoki

Publication date: 1950

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/00210064

zbMATH Keywords

functional analysis

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functional equations in various quasinormed spaces ⋮ Approximate quadratic-additive mappings in fuzzy normed spaces ⋮ On Ulam's type stability of the linear equation and related issues ⋮ On a new stability problem of radical \(n\)th-degree functional equation by Brzdęk's fixed-point method ⋮ Bihom derivations in Banach algebras ⋮ A note on Ulam stability of some fuzzy number-valued functional equations ⋮ Solution and stability of an \(n\)-dimensional functional equation ⋮ On the generalized Hyers-Ulam stability of an \(n\)-dimensional quadratic and additive type functional equation ⋮ Fuzzy stability of the generalized version of drygas functional equation ⋮ Remarks on stability of some inhomogeneous functional equations ⋮ Recent developments of the conditional stability of the homomorphism equation ⋮ Remarks on the Hyers-Ulam stability of some systems of functional equations ⋮ On the stability of the generalized cubic set-valued functional equation ⋮ GENERALIZED HYERS-ULAM STABILITY FOR A GENERAL CUBIC FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACES ⋮ Unnamed Item ⋮ Remarks on Stability of the Linear Functional Equation in Single Variable ⋮ Fixed Point Approach to the Stability of the Gamma Functional Equation ⋮ Random Stability of an AQCQ Functional Equation: A Fixed Point Approach ⋮ On the Stability of an Additive Mapping ⋮ On the Stability of an Additive and Quadratic Functional Equation ⋮ \(C^\ast\)-ternary 3-derivations on \(C^\ast\)-ternary algebras ⋮ Hyers-Ulam stability of a generalized additive set-valued functional equation ⋮ Fuzzy stability of functional inequalities in matrix fuzzy normed spaces ⋮ Unnamed Item ⋮ The Hyers–Ulam–Aoki Type Stability of Some Functional Equations on Banach Lattices ⋮ Almost Multi-Cubic Mappings and a Fixed Point Application ⋮ Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces ⋮ Ulam-Hyers stability for matrix-valued fractional differential equations ⋮ Unnamed Item ⋮ Stability of a mixed functional equation in several variables on Banach modules ⋮ Unnamed Item ⋮ A fixed point approach to stability of \(k\)-th radical functional equation in non-Archimedean \((n,\beta)\)-Banach spaces ⋮ On the Brzdȩk's fixed point approach to stability of a Drygas functional equation in 2-Banach spaces ⋮ On an equation characterizing multi-cubic mappings and its stability and hyperstability ⋮ Solution of the Ulam stability problem for Euler-Lagrange \(k\)-quintic mappings ⋮ A Fixed Point Approach to Stability of the Quadratic Equation ⋮ An AQCQ-Functional Equation in Matrix Random Normed Spaces ⋮ Unnamed Item ⋮ Solution and stability of quartic functional equations in modular spaces by using Fatou property ⋮ Ulam-Hyers stability results of \(\lambda\)-quadratic functional equation with three variables in non-Archimedean Banach space and non-Archimedean random normed space ⋮ ON HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES ⋮ The hyperstability of AQ-Jensen functional equation on 2-divisible abelian group and inner product spaces ⋮ Inner Product Spaces and Quadratic Functional Equations ⋮ Functional Inequalities in Fuzzy Normed Spaces ⋮ Cubic and quartic ρ-functional inequalities in fuzzy Banach spaces ⋮ On the hyperstability of a quartic functional equation in Banach spaces ⋮ The structure of multimixed quadratic-cubic mappings and an application of fixed point theory ⋮ Stability of Systems of General Functional Equations in the Compact-Open Topology ⋮ On the solution and Ulam-Hyers-Rassias stability of a Caputo fractional boundary value problem ⋮ On Ulam stability of the inhomogeneous version of the general linear functional equation ⋮ A new hyperstability result for the multi-Drygas equation via the Brzdȩk's fixed point approach ⋮ Unnamed Item ⋮ On perturbations of two general equations in several variables ⋮ Ulam-Hyers stability of Caputo-type fractional fuzzy stochastic differential equations with delay ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the generalized orthogonal stability of the pexiderized quadratic functional equations in modular spaces ⋮ Unnamed Item ⋮ Comment to “Approximate bihomomorphisms and biderivations in 3-Lie algebras” [Int. J. Geom. Methods Mod. Phys.10(2013) 1220020] ⋮ Non-Archimedean hyperstability of a Cauchy-Jensen type functional equation ⋮ Ulam-Hyers-Rassias stability of a nonlinear stochastic Ito-Volterra integral equation ⋮ Stability of two variable pexiderized quadratic functional equation in intuitionistic fuzzy Banach spaces ⋮ Hyers-Ulam stability of n ͭ ͪ order linear differential equation ⋮ On Hyperstability of the Two-Variable Jensen Functional Equation on Restricted Domain ⋮ Additive Functional Inequalities and Partial Multipliers in Complex Banach Algebras ⋮ Additive ρ-Functional Inequalities and Their Applications ⋮ ON THE HYPERSTABILITY OF THE DRYGAS FUNCTIONAL EQUATION ON A RESTRICTED DOMAIN ⋮ Stability of additive-quadratic $\rho$-functional equations in Banach spaces: a fixed point approach ⋮ On the generalized Ulam-Hyers-Rassias stability for quartic functional equation in modular spaces ⋮ Approximation of the mixed additive and cubic functional equation in paranormed spaces ⋮ Quadratic rho-functional inequalities in beta-homogeneous normed spaces ⋮ Hyers-Ulam-Rassias stability of non-linear delay differential equations ⋮ Additive (ρ1, ρ2)-Functional Inequalities in Complex Banach Spaces ⋮ Additive-Quadratic Functional Inequalities ⋮ Ulam-Hyers-Rassias stability of a nonlinear stochastic integral equation of Volterra type ⋮ Ulam stability of an additive-quadratic functional equation in Banach spaces ⋮ STABILITY OF THE JENSEN'S FUNCTIONAL EQUATION IN MULTI-FUZZY NORMED SPACES ⋮ APPROXIMATE BIHOMOMORPHISMS AND BIDERIVATIONS IN 3-LIE ALGEBRAS ⋮ ADDITIVE FUNCTIONAL INEQUALITIES AND DERIVATIONS ON HILBERT C*-MODULES ⋮ A fixed point method to the generalized stability of a mixed additive and quadratic functional equation in Banach modules ⋮ On the stability of general cubic-quartic functional equations in Menger probabilistic normed spaces ⋮ Hyers-Ulam stability of delay differential equations of first order ⋮ Unnamed Item ⋮ Hyperstability of cubic functional equation in ultrametric spaces ⋮ On the stability of quadratic reciprocal functional equation in non-Archimedean fields ⋮ On the hyperstability of a Cauchy-Jensen type functional equation in Banach spaces ⋮ On approximation of approximately generalized quadratic functional equation via Lipschitz criteria ⋮ On the Hyers-Ulam stabilities of functional equations on n-Banach spaces ⋮ A Note on the Stability of Some Functional Equations on Certain Groupoids ⋮ The stability of an additive functional equation in menger probabilistic φ-normed spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Various stabilities of reciprocal-septic and reciprocal-octic functional equations ⋮ Approximate ternary Jordan derivations on Banach ternary algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Derivation-homomorphism functional inequalities ⋮ A general additive functional inequality and derivation in Banach algebras ⋮ On an equation characterizing multi-Jensen-quartic mappings and its stability ⋮ Additive double ρ-functional inequalities in β-homogeneous F-spaces ⋮ Unnamed Item ⋮ APPROXIMATE 3-LIE HOMOMORPHISMS ON LIE ALGEBRA SYSTEMS ⋮ Solution and stability of a mixed type functional equation ⋮ Unnamed Item ⋮ FIXED POINTS AND APPROXIMATELY C*-TERNARY QUADRATIC HIGHER DERIVATIONS ⋮ APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C^*-TERNARY ALGEBRAS: REVISITED ⋮ Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations ⋮ A fixed point approach to the stability of sextic Lie *-derivations ⋮ Generalized Hyers-Ulam stability for general additive functional equations on non-Archimedean random lie C*-algebras ⋮ Various Approximate Multiplicative Inverse Lie $$\star $$-Derivations ⋮ Non-Archimedean stability of a generalized reciprocal-quadratic functional equation in several variables by direct and fixed point methods ⋮ Stabilities and non-stabilities of the reciprocal-nonic and the reciprocal-decic functional equations ⋮ Hyperstability criterion for a new type of 2-variable radical functional equations ⋮ Random stability and hyperstability of multi-quadratic mappings ⋮ Unnamed Item ⋮ A Mathematical Model Using Fixed Point Theorem for Two-Choice Behavior of Rhesus Monkeys in a Noncontingent Environment ⋮ Hyers-Ulam stability of an additive-quadratic functional equation ⋮ Ulam type stability of second-order linear differential equations with constant coefficients having damping term by using the Aboodh transform ⋮ Some hyperstability results of a p-radical functional equation related to quartic mappings in non-archimedean Banach spaces ⋮ On the Hyers–Ulam stability and hyperstability of a generalized quadratic functional equation in n-Banach spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Stability estimates for a radical functional equation with fixed-point approaches ⋮ Biderivations and bihomomorphisms in Banach algebras ⋮ Stability problem in a set of Lebesgue measure zero of bi-additive functional equation ⋮ Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays ⋮ Brzdęk’s fixed point method for the generalised hyperstability of bi-Jensen functional equation in (2,β)-Banach spaces ⋮ Ulam stability for delay fractional differential equations with a generalized Caputo derivative ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Hyers-Ulam stability of a certain Fredholm integral equation ⋮ Approximation of quadratic Lie ∗-derivations on ρ-complete convex modular algebras ⋮ Nearly $k-th$ Partial Ternary Cubic $*$-Derivations On Non-Archimedean $\ell$-Fuzzy $C^{*}$-Ternary Algebras ⋮ Survey on Cauchy Functional Equation in Lattice Environments ⋮ Ulam-Hyers Stability of Functional Equations in Quasi-β-Banach Spaces ⋮ Solutions and Stability of Some Functional Equations on Semigroups ⋮ Bi-additive s-Functional Inequalities and Quasi-∗-Multipliers on Banach ∗-Algebras ⋮ Ulam Stability of Zero Point Equations ⋮ Hyperstability of a Linear Functional Equation on Restricted Domains ⋮ General Solution and Hyers–Ulam Stability of DuoTrigintic Functional Equation in Multi-Banach Spaces ⋮ Stabilities of MIQD and MIQA Functional Equations via Fixed Point Technique ⋮ Stability of an n-Dimensional Functional Equation in Banach Space and Fuzzy Normed Space ⋮ Fourier Transforms and Ulam Stabilities of Linear Differential Equations ⋮ STABILITY OF THE GENERALIZED QUADRATIC AND QUARTIC TYPE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN FUZZY NORMED SPACES ⋮ Set-Valued Additive Functional Equations ⋮ Approximation of functional equations in intuitionistic fuzzy C ∗ -algebras ⋮ A fixed point approach to the stability of additive-quadratic-quartic functional equations ⋮ Unnamed Item ⋮ On the Hyers–Ulam–Rassias Approximately Ternary Cubic Higher Derivations ⋮ Additive-Quadratic ρ-Functional Equations in β-Homogeneous Normed Spaces ⋮ Stability of Bi-additive s-Functional Inequalities and Quasi-multipliers ⋮ On the Stability of Some Functional Equations and s-Functional Inequalities ⋮ Stability of the Cosine–Sine Functional Equation on Amenable Groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Mahgoub transform and Hyers-Ulam stability of first-order linear differential equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ 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 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the stability of fuzzy set-valued functional equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the stability of left δ-centralizers on Banach Lie triple systems ⋮ A FIXED POINT APPROACH TO THE STABILITY OF QUARTIC LIE ∗-DERIVATIONS ⋮ QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN BANACH SPACES: A FIXED POINT APPROACH ⋮ Duotrigintic functional equation and its stability in Banach spaces ⋮ Solution and stability of an $n$-variable additive functional equation ⋮ 3-Variable double ρ-functional inequalities of Drygas ⋮ AN ADDITIVE FUNCTIONAL INEQUALITY ⋮ THE GENERALIZED HYERS-ULAM STABILITY OF ADDITIVE FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN 2-NORMED SPACE ⋮ FUZZY ALGEBRA HOMOMORPHISMS AND FUZZY DERIVATIONS ⋮ Unnamed Item ⋮ The stability of an additive (ρ_1, ρ_2)-functional inequality in Banach spaces ⋮ Unnamed Item ⋮ Some additive mappings on Banach ∗-algebras with derivations ⋮ Unnamed Item ⋮ Lipschitz stability of the k-quadratic functional equation ⋮ Fundamental Stabilities of Various Forms of Complex Valued Functional Equations ⋮ Unnamed Item ⋮ Additive s-functional inequalities and partial multipliers in Banach algebras ⋮ Stability of a general mixed additive-cubic functional equation in non-Archimedean fuzzy normed spaces ⋮ Comment on “Approximate ternary Jordan derivations on Banach ternary algebras” [Bavand Savadkouhi et al. J. Math. Phys. 50, 042303 (2009)] ⋮ A heat kernel approach to the stability of exponential equation in distributions and hyperfunctions ⋮ Generalized Ulam–Hyers Stability Results: A Fixed Point Approach ⋮ On a Weak Version of Hyers–Ulam Stability Theorem in Restricted Domains ⋮ On the Stability of Drygas Functional Equation on Amenable Semigroups ⋮ Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation ⋮ Approximate Cauchy–Jensen Type Mappings in Quasi-β-Normed Spaces ⋮ An AQCQ-Functional Equation in Matrix Paranormed Spaces ⋮ On the Generalized Hyers–Ulam Stability of the Pexider Equation on Restricted Domains ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Stability of trigintic functional equation in multi-Banach spaces: fixed point approach ⋮ A fixed point approach to the stability of a quadratic-cubic functional equation ⋮ The stability of generalized reciprocal-negative Fermat's equations in quasi-$\beta$-normed spaces ⋮ Stability of a general p-radical functional equation related to additive mappings in 2-Banach spaces ⋮ Some hyperstability results of a p-radical functional equation related to Drygas mappings in non-Archimedean Banach spaces ⋮ On establishing qualitative theory to nonlinear boundary value problem of fractional differential equations ⋮ Ulam stability and non-stability of additive functional equation in IFN-spaces and 2-Banach spaces by different methods ⋮ A new fixed point theorem in quasi-\((2, \beta)\)-Banach spaces and some of its applications to functional equations ⋮ Analysis of a coupled system of fractional differential equations with non-separated boundary conditions ⋮ Existence and stability results for nonlinear boundary value problem for implicit differential equations of fractional order ⋮ Stability of mild solutions of the fractional nonlinear abstract Cauchy problem ⋮ Equalities and inequalities for several variables mappings ⋮ Hyers-Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces ⋮ Homomorphism-derivation functional inequalities in \(C^\ast\)-algebras ⋮ Ulam stability of two fuzzy number-valued functional equations ⋮ Almost multi-quadratic mappings in non-Archimedean spaces ⋮ Ulam stability of a functional equation deriving from quadratic and additive mappings in random normed spaces ⋮ Generalized linear differential equation using Hyers-Ulam stability approach ⋮ Additive \(\rho \)-functional inequalities in non-Archimedean 2-normed spaces ⋮ Generalized \((\alpha,\beta, \gamma)\)-derivations on Lie \(C^*\)-algebras ⋮ Fuzzy normed spaces and stability of a generalized quadratic functional equation ⋮ Ulam stability of linear differential equations using Fourier transform ⋮ Solution of a 3-D cubic functional equation and its stability ⋮ Bihomomorphisms and biderivations in Lie Banach algebras ⋮ Stability results of some fractional neutral integrodifferential equations with delay ⋮ Approximate mixed type quadratic-cubic functional equation ⋮ The generalized hyperstability of general linear equation in quasi-2-Banach space ⋮ Approximate solution of a \(p\)-th root functional equation in non-Archimedean \((2, \beta)\)-Banach spaces ⋮ Approximate solution of \(p\)-radical functional equation in 2-Banach spaces ⋮ On new approximations for generalized Cauchy functional equations using Brzdęk and Ciepliński's fixed point theorems in 2-Banach spaces ⋮ Aboodh transform and the stability of second order linear differential equations ⋮ Characterization and stability analysis of advanced multi-quadratic functional equations ⋮ Fixed points and stability for quadratic mappings in \(\beta\)-normed left Banach modules on Banach algebras ⋮ Stability of various functional equations in non-Archimedean intuitionistic fuzzy normed spaces ⋮ A fixed point approach to almost double derivations and Lie \(*\)-double derivations ⋮ Nearly quartic mappings in \(\beta\)-homogeneous \(F\)-spaces ⋮ Some new results on the superstability of the Cauchy equation on semigroups ⋮ On some recent developments in Ulam's type stability ⋮ The Ulam type stability of a generalized additive mapping and concrete examples ⋮ On the stability of Pexider functional equation in non-Archimedean spaces ⋮ Hyers-Ulam-Rassias RNS approximation of Euler-Lagrange-type additive mappings ⋮ Stabilities of cubic mappings in fuzzy normed spaces ⋮ Fixed points, inner product spaces, and functional equations ⋮ 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 ⋮ General solution and stability of additive-quadratic functional equation in IRN-space ⋮ Orthogonal stability of the generalized quadratic functional equations in the sense of Rätz ⋮ Hyers-Ulam-Rassias stability of Cauchy-Jensen functional equation in RN-spaces ⋮ Some new stability results of a Cauchy-Jensen equation in incomplete normed spaces ⋮ Bi-additive \(s\)-functional inequalities and quasi-multipliers on Banach algebras ⋮ Approximation of analytic functions by Bessel functions of fractional order ⋮ An \(n\)-dimensional cubic functional equation and its Hyers-Ulam stability ⋮ Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari's type ⋮ Approximate solution of radical quartic functional equation related to additive mapping in 2-Banach spaces ⋮ Stability of a functional equation deriving from quadratic and additive functions in non-Archimedean normed spaces ⋮ Hyers-Ulam stability for a class of quadratic functional equations via a typical form ⋮ Hyperstability and superstability ⋮ Approximate cubic Lie derivations ⋮ Generalized Hyers-Ulam stability of a mixed type functional equation ⋮ Generalized Hyers-Ulam stability of quadratic functional inequality ⋮ On the intuitionistic fuzzy stability of ring homomorphism and ring derivation ⋮ Jordan \((\theta, \phi)\)-derivations on Hilbert \(C^\ast\)-modules ⋮ Functional inequalities in non-Archimedean normed spaces ⋮ Fixed points of a mapping and Hyers-Ulam stability ⋮ Orthogonal stability and nonstability of a generalized quartic functional equation in quasi-\(\beta\)-normed spaces ⋮ Hom-derivations in \(C^*\)-ternary algebras ⋮ Hyers-Ulam stability of functional equation deriving from quadratic mapping in non-Archimedean \((n,\beta)\)-normed spaces ⋮ Fuzzy approximate \(m\)-mappings in quasi fuzzy normed spaces ⋮ Approximation on the reciprocal functional equation in several variables in matrix non-Archimedean random normed spaces ⋮ On stability of a general bilinear functional equation ⋮ On the hyperstability of the generalized class of Drygas functional equations on semigroups ⋮ Ulam stability of functional equations in 2-Banach spaces via the fixed point method ⋮ Ulam type stability for conformable fractional differential equations ⋮ Hyers-Ulam-Rassias stability of \((m, n)\)-Jordan derivations ⋮ Approximation of the multi-\(m\)-Jensen-quadratic mappings and a fixed point approach ⋮ On the stability of the functional equation \(f(2x+y)+f \left(\frac{x+y}{2}\right)=\frac{2f(x)f(y)}{f(x)+f(y)}+\frac{2f(x+y)f(y-x)}{3f(y-x)-f(x+y)}\) ⋮ Certain properties of difference operator and stability of Fréchet functional equation ⋮ Bi-additive s-functional inequalities and biderivation in modular spaces ⋮ Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces ⋮ Two multi-cubic functional equations and some results on the stability in modular spaces ⋮ Hyers-Ulam stability of functional inequalities: a fixed point approach ⋮ On a unique solution of the stochastic functional equation arising in gambling theory and human learning process ⋮ On a unique solution of a T-maze model arising in the psychology and theory of learning ⋮ Characterization, stability and hyperstability of multi-quadratic-cubic mappings ⋮ Hyers-Ulam stability of first-order linear differential equations using Aboodh transform ⋮ Functional inequalities for generalized multi-quadratic mappings ⋮ Approximate additive mappings of derivation-type on Banach \(\ast\)-algebras ⋮ Classical stabilities of multiplicative inverse difference and adjoint functional equations ⋮ On the solution of Bush and Wilson's stochastic model for two-choice behavior of the paradise fish approached by the fixed-point method ⋮ Approximate generalized Jensen mappings in 2-Banach spaces ⋮ Functional inequalities for multi-additive-quadratic-cubic mappings ⋮ Some hyperstability results in non-Archimedean 2-Banach space for a \(\sigma\)-Jensen functional equation ⋮ Hyers-Ulam stability of an additive-quadratic functional equation ⋮ Hyers-Ulam stability of symmetric biderivations on Banach algebras ⋮ Approximate reciprocal Lie \(\star \)-derivations ⋮ Approximate solution of a generalized multi-quadratic type functional equation in Lipschitz spaces ⋮ Stabilities and non-stabilities of a new reciprocal functional equation ⋮ The stability of \(N\)-dimensional quadratic functional inequality in non Archimedean Banach spaces ⋮ Ulam stability of a quadratic-type functional equation in 3 variables in the quasi-Banach space ⋮ A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces ⋮ Local stability of mappings on multi-normed spaces ⋮ Multiquartic functional equations ⋮ Fourier transforms and \(L^2\)-stability of diffusion equations ⋮ On Ulam-Hyers-Rassias stability of the boundary value problem of Hadamard fractional differential equations of variable order ⋮ \(C^\ast\)-algebra valued fuzzy normed spaces with application of Hyers-Ulam stability of a random integral equation ⋮ Stability of Cauchy-Jensen Type Functional Equation in (2, α)–Banach Spaces ⋮ Approximate Generalized Additive-Quadratic Functional Equations on Ternary Banach Algebras ⋮ Some hyperstability and stability results for the Cauchy and Jensen equations ⋮ Hyers–Ulam–Rassias Stability of the Generalized Wilson’s Functional Equation ⋮ Fixed points and Lie bracket (ternary) derivation-derivation ⋮ Ulam stability of Jensen functional inequality on a class of noncommutative groups ⋮ Periodic boundary value problems for fractional dynamic equations on time scales ⋮ Hyers-Ulam stability of fuzzy fractional Volterra integral equations with the kernel \(\psi\)-function via successive approximation method ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Characterization and stability of multi-Euler-Lagrange quadratic functional equations ⋮ Stability of a new additive functional inequality in Banach spaces ⋮ Stability of additive functional inequality in various normed spaces ⋮ Stability and controllability of nonautonomous neutral system with two delays ⋮ On stability of quadratic Lie hom-ders in Lie Banach algebras ⋮ Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach ⋮ Equivalence for various forms of quadratic functional equations and their generalized Hyers-Ulam-Rassias stability ⋮ Approximate multi-Jensen-cubic mappings and a fixed point theorem ⋮ The existence and uniqueness of solutions to a functional equation arising in psychological learning theory ⋮ Ulam type stabilities of \(n\)-th order linear differential equations using Gronwall's inequality ⋮ Exponential and Hyers-Ulam stability of impulsive linear system of first order ⋮ Different stabilities for oscillatory Volterra integral equations ⋮ Stability of linear operators in locally convex cones ⋮ A NOTE ON THE GENERALISED HYPERSTABILITY OF THE GENERAL LINEAR EQUATION ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Intuitionistic fuzzy stability of a quadratic functional equation ⋮ Stability of n-Lie homomorphisms and Jordan n-Lie homomorphisms on n-Lie algebras ⋮ A HYPERSTABILITY RESULT FOR THE CAUCHY EQUATION ⋮ On the stability of some functional equations in Menger φ-normed spaces ⋮ Intuitionistic fuzzy stability of a quadratic functional equation ⋮ On the stability of the additive Cauchy functional equation in random normed spaces ⋮ Functional inequalities in matrix Banach spaces ⋮ On stability of the general linear equation ⋮ Functional inequalities in matrix Banach spaces ⋮ Approximate homomorphisms and derivations between C∗-ternary algebras ⋮ Hyers-Ulam Stability of Some Differential Equations and Differential Operators ⋮ Results and Problems in Ulam Stability of Operatorial Equations and Inclusions ⋮ Superstability of Generalized Module Left Higher Derivations on a Multi-Banach Module ⋮ D’Alembert’s Functional Equation and Superstability Problem in Hypergroups ⋮ Asymptotic behavior of generalized *-derivations on C*-algebras with applications ⋮ Intuitionistic fuzzy stability of a general mixed additive-cubic equation ⋮ Approximate Higher Ring Derivations in Non-Archimedean Banach Algebras ⋮ A note on envelopes of homotopies ⋮ APPROXIMATE LIE *-DERIVATIONS ON <i>ρ</i>-COMPLETE CONVEX MODULAR ALGEBRAS ⋮ On the stability of some positive linear operators from approximation theory ⋮ AN APPLICATION OF THE LERAY-SCHAUDER DEGREE THEORY TO THE VARIABLE COEFFICIENT SEMILINEAR BIHARMONIC PROBLEM ⋮ ON THE STABILITY OF THE GENERALIZED QUADRATIC AND ADDITIVE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD ⋮ ON THE STABILITY OF THE QUADRATIC-ADDITIVE TYPE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD ⋮ STABILITY OF THE JENSEN FUNCTIONAL EQUATION IN FUZZY BANACH ALGEBRAS ⋮ SUPERSTABILITY OF THE GENERALIZED PEXIDER TYPE EXPONENTIAL EQUATION IN ABELIAN GROUP ⋮ The cubic ρ-functional equation in matrix non-Archimedean random normed spaces ⋮ Solution and Stability of n-Dimensional Quadratic Functional Equation ⋮ A FIXED POINT APPROACH TO STABILITY OF A CUBIC FUNCTIONAL EQUATION IN 2-BANACH SPACES ⋮ Stability of initial-boundary value problem for diffusion equation on a half space ⋮ Stability of additive-quadratic 3D functional equation in modular spaces by direct method