A fixed point approach to stability of functional equations
From MaRDI portal
Publication:640200
DOI10.1016/j.na.2011.06.052zbMath1236.39022OpenAlexW2042047534MaRDI QIDQ640200
Janusz Brzdȩk, Zsolt Páles, Jacek Chudziak
Publication date: 17 October 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.06.052
functional equationHyers-Ulam stabilityinequalityfixed point theoremfunctional equation in a single variable
Related Items (only showing first 100 items - show all)
New stability results for the radical sextic functional equation related to quadratic mappings in \((2,\beta )\)-Banach spaces ⋮ Fixed-point theorem in classes of function with values in a dq-metric space ⋮ A new fixed point theorem in quasi-\((2, \beta)\)-Banach spaces and some of its applications to functional equations ⋮ Characterization and stability of multimixed additive-quartic mappings: a fixed point application ⋮ The fixed point approach to the stability of fractional differential equations with causal operators ⋮ Hyperstability of general linear functional equation ⋮ On Hyers-Ulam stability of generalized linear functional equation and its induced Hyers-Ulam programming problem ⋮ Ulam's stability of a generalization of the Fréchet functional equation ⋮ Unnamed Item ⋮ Hyperstability of Cauchy-Jensen functional equations ⋮ On the hyperstability of \(\sigma\)-Drygas functional equation on semigroups ⋮ A note on stability of polynomial equations ⋮ On a fixed point theorem in 2-Banach spaces and some of its applications ⋮ Unnamed Item ⋮ Approximate solution of \(p\)-radical functional equation in 2-Banach spaces ⋮ Hyperstability of the generalized Cauchy-Jensen functional equation in ultrametric spaces ⋮ A fixed point theorem and the Hyers-Ulam stability in Riesz spaces ⋮ Generalized hyperstability of the Jensen functional equation in ultrametric spaces ⋮ A fixed point approach to the hyperstability of the general linear equation in \(\beta\)-Banach spaces ⋮ Stability of the equation of \((p,q)\)-Wright functions ⋮ A fixed point theorem and the Ulam stability in generalized dq-metric spaces ⋮ On stability of a functional equation of quadratic type ⋮ Asymptotic stability of the Cauchy and Jensen functional equations ⋮ Characterization and stability analysis of advanced multi-quadratic functional equations ⋮ On an equation characterizing multi-additive-quadratic mappings and its Hyers-Ulam stability ⋮ On the Brzdȩk's fixed point approach to stability of a Drygas functional equation in 2-Banach spaces ⋮ Hyperstability of some functional equations on restricted domain ⋮ Hyperstability of the Jensen functional equation in ultrametric spaces ⋮ Hyperstability of the general linear equation on restricted domains ⋮ On the generalized Fréchet functional equation with constant coefficients and its stability ⋮ A note on asymptotically approximate generalized Lie derivations ⋮ ON HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES ⋮ Generalized hyperstability of a Drygas functional equation on a restricted domain using Brzdȩk's fixed point theorem ⋮ Stability of additivity and fixed point methods ⋮ Fixed point theory and the Ulam stability ⋮ The hyperstability of AQ-Jensen functional equation on 2-divisible abelian group and inner product spaces ⋮ A fixed point approach to the stability of an \(n\)-dimensional mixed-type additive and quadratic functional equation ⋮ On functions that are approximate fixed points almost everywhere and Ulam's type stability ⋮ Fixed points and generalized stability for quadratic and quartic mappings in \({C^*}\)-algebras ⋮ Ulam-stability of a generalized linear functional equation, a fixed point approach ⋮ Stability of multi-additive mappings in \(\beta\)-Banach spaces ⋮ On generalized hyperstability of a general linear equation ⋮ Stability of a generalization of the Fréchet functional equation ⋮ On the hyperstability of a quartic functional equation in Banach spaces ⋮ 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 ⋮ On the stability of a generalization of Jensen functional equation ⋮ A characterization of multi-mixed additive-quadratic mappings and a fixed point application ⋮ Unnamed Item ⋮ Hyperstability of the Fréchet equation and a characterization of inner product spaces ⋮ Unnamed Item ⋮ TWO NEW GENERALISED HYPERSTABILITY RESULTS FOR THE DRYGAS FUNCTIONAL EQUATION ⋮ Ulam-Hyers stability and well-posedness of fixed point problems for \(\alpha\)-\(\lambda\)-contraction mapping in metric spaces ⋮ Non-Archimedean hyperstability of a Cauchy-Jensen type functional equation ⋮ Hyperstability of the Jensen functional equation ⋮ On Hyperstability of the Two-Variable Jensen Functional Equation on Restricted Domain ⋮ Estimation, dependence and stability of solutions of an iterative equation ⋮ Hyperstability of the \(k\)-cubic functional equation in non-Archimedean Banach spaces ⋮ Some applications with new admissibility contractions in b-metric spaces ⋮ Hyperstability of the Cauchy equation on restricted domains ⋮ Stability for a family of equations generalizing the equation of \(p\)-Wright affine functions ⋮ On the stability of additive, quadratic, cubic and quartic set-valued functional equations ⋮ Stability of the Drygas functional equation on restricted domain ⋮ Stability of a generalization of Cauchy's and the quadratic functional equations ⋮ On an equation characterizing multi-Jensen-quadratic mappings and its Hyers-Ulam stability via a fixed point method ⋮ Hyperstability of an \(n\)-dimensional Jensen type functional equation ⋮ On approximate roots of polynomials and systems of polynomials in ultrametric Banach algebras ⋮ Comments on fixed point results in classes of function with values in a $b$-metric space ⋮ Hyers-Ulam stability of the linear differential operator with nonconstant coefficients ⋮ The generalized hyperstability of general linear equations in quasi-Banach spaces ⋮ Stability and hyperstability of a quadratic functional equation and a characterization of inner product spaces ⋮ Hyers-Ulam stability of general Jensen-type mappings in Banach algebras ⋮ Generalized Ulam-Hyers stability and well-posedness for fixed point equation via \(\alpha\)-admissibility ⋮ Approximate solution of radical quartic functional equation related to additive mapping in 2-Banach spaces ⋮ Hyperstability and superstability ⋮ A new type fixed point theorem for a contraction on partially ordered generalized complete metric spaces with applications ⋮ On fixed points of a linear operator of polynomial form of order 3 ⋮ On stability and hyperstability of an equation characterizing multi-Cauchy-Jensen mappings ⋮ Hyperstability of cubic functional equation in ultrametric spaces ⋮ On approximate solutions of the generalized Volterra integral equation ⋮ A fixed point application for the stability and hyperstability of multi-Jensen-quadratic mappings ⋮ On stability of a general bilinear functional equation ⋮ A fixed point theorem in \(n\)-Banach spaces and Ulam stability ⋮ On the hyperstability of the generalized class of Drygas functional equations on semigroups ⋮ Remark on hyperstability of the general linear equation ⋮ On the hyperstability of a Cauchy-Jensen type functional equation in Banach spaces ⋮ Approximation of the multi-\(m\)-Jensen-quadratic mappings and a fixed point approach ⋮ The hyperstability of general linear equation via that of Cauchy equation ⋮ Ulam-Hyers stability results for fixed point problems via \(\alpha\)-\(\psi\)-contractive mapping in \((b)\)-metric space ⋮ Characterization, stability and hyperstability of multi-quadratic-cubic mappings ⋮ Functional inequalities for generalized multi-quadratic mappings ⋮ Unnamed Item ⋮ Functional inequalities for multi-additive-quadratic-cubic mappings ⋮ Some hyperstability results in non-Archimedean 2-Banach space for a \(\sigma\)-Jensen functional equation ⋮ On stability of the functional equation of \(p\)-Wright affine functions in \((2,\alpha)\)-Banach spaces ⋮ Approximate \((\alpha ,\beta ,\gamma )\)-derivation on random Lie \(C^*\)-algebras ⋮ 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 ⋮ Multiquartic functional equations ⋮ Banach limit, fixed points and Ulam stability
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Remarks on stability of linear recurrence of higher order
- On the stability of functional equations
- A fixed point approach to stability of a quadratic equation
- A result of Tosio Aoki about a generalization of Hyers-Ulam stability of additive functions -- a question of priority
- Fixed point methods for the generalized stability of functional equations in a single variable
- Hyers-Ulam stability for linear equations of higher orders
- On nonstability of the linear recurrence of order one
- A fixed point approach to the stability of isometries
- Stability of functional equations in single variable.
- Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
- Hyers-Ulam stability of functional equations in several variables
- A note on stability of a linear functional equation of second order connected with the Fibonacci numbers and Lucas sequences
- Estimates to the stability of functional equations
- A fixed point approach to the stability of the cubic functional equation
- The stability of a cubic type functional equation with the fixed point alternative
- Hyers-Ulam stability of the linear recurrence with constant coefficients
- On a direct method for proving the Hyers-Ulam stability of functional equations
- On the stability of the linear transformation in Banach spaces
- The Stability of Certain Functional Equations
- On the Stability of the Linear Mapping in Banach Spaces
- On the asymptoticity aspect of Hyers-Ulam stability of mappings
- Classes of transformations and bordering transformations
- On the Stability of the Linear Functional Equation
This page was built for publication: A fixed point approach to stability of functional equations