A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces
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Publication:2111079
DOI10.1007/s11784-022-01034-8zbMath1504.39046OpenAlexW4313435998MaRDI QIDQ2111079
Chaimaa Benzarouala, Janusz Brzdȩk, Lahbib Oubbi
Publication date: 23 December 2022
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-022-01034-8
fixed pointfunction spacerandom normed spaceUlam stabilityapproximate eigenvalueapproximate eigenvectorgeneral linear functional equation
Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)
Cites Work
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- Hyperstability of general linear functional equation
- Ulam-Hyers stability for MKC mappings via fixed point theory
- Fixed point theory and the Ulam stability
- Ulam-Hyers-Rassias stability problem for several kinds of mappings
- Hyperstability of the Cauchy equation on restricted domains
- Stability of the Drygas functional equation on restricted domain
- An Ulam stability result on quasi-\(b\)-metric-like spaces
- Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
- Characterizations of inner product spaces by strongly convex functions
- A fixed point approach to stability of functional equations
- A fixed point approach to the stability of functional equations in non-Archimedean metric spaces
- Hyers-Ulam stability of a functional equation with several parameters
- On approximate solutions of the linear functional equation of higher order
- Remark on hyperstability of the general linear equation
- A fixed point approach to stability of a quadratic equation
- A characterization of inner product spaces concerning an Euler-Lagrange identity
- On stability of additive mappings
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- On fixed-point theorems in fuzzy metric spaces
- Stability of functional equations in single variable.
- On the definition of eigenvalues for nonlinear operators
- Hyers-Ulam-Rassias stability of a Jensen type functional equation
- On the stability of a quadratic Jensen type functional equation
- A fixed point theorem and the Ulam stability in generalized dq-metric spaces
- A linear functional equation of third order associated with the Fibonacci numbers
- On the stability of a functional equation associated with the Fibonacci numbers
- On the stability of a functional equation deriving from an inequality of Popoviciu for convex functions
- A Banach contraction theorem in fuzzy metric spaces
- Quadratic functional equation and inner product spaces
- Approximate eigenvectors as preconditioner
- Ulam-stability of a generalized linear functional equation, a fixed point approach
- On the stability of the linear functional equation in a single variable on complete metric groups
- On Ulam's type stability of the linear equation and related issues
- An admissible hybrid contraction with an Ulam type stability
- Fixed-point results and the Hyers-Ulam stability of linear equations of higher orders
- Ulam stability of operators
- Stability of the equation of the \(p\)-Wright affine functions
- Stability of functional equations in random normed spaces
- Hyperstability of the Drygas functional equation
- Hyperstability of the Fréchet equation and a characterization of inner product spaces
- On approximately \(p\)-Wright affine functions in ultrametric spaces
- Hyperstability of the Jensen functional equation
- Sur la définition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
- On the stability of the linear transformation in Banach spaces
- Popoviciu Type Functional Equations on Groups
- Probabilistic Normed Spaces
- ON HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES
- Stability of the Popoviciu type functional equations on groups
- HYPERSTABILITY OF THE GENERAL LINEAR FUNCTIONAL EQUATION
- Using least-squares to find an approximate eigenvector
- Functional Equations and Inequalities with Applications
- On the Stability of the Linear Mapping in Banach Spaces
- Hyers–Ulam stability of monomial functional equations on a general domain
- STABILITY OF A GENERALIZED QUADRATIC FUNCTIONAL EQUATION WITH JENSEN TYPE
- HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES
- A Purely Fixed Point Approach to the Ulam-Hyers Stability and Hyperstability of a General Functional Equation
- Generalized Hyers-Ulam stability of general cubic functional equation in random normed spaces
- A fixed point theorem of the alternative, for contractions on a generalized complete metric space
- Fixed points of contraction mappings on probabilistic metric spaces
- STABILITY OF MAPPINGS ON MULTI-NORMED SPACES
- Statistical Metrics
- Stability of functional equations in several variables
- On some results in fuzzy metric spaces
- On the stability of the additive Cauchy functional equation in random normed spaces
- On stability of the general linear equation
- Fixed point results on \(\Delta\)-symmetric quasi-metric space via simulation function with an application to Ulam stability