The probabilistic stability for a functional equation in a single variable

DOI10.1007/s10474-008-8101-yzbMath1212.39036OpenAlexW2137323058MaRDI QIDQ1046896

Dorel Miheţ

Publication date: 29 December 2009

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-008-8101-y

zbMATH Keywords

functional equationgeneralized Hyers-Ulam-Rassias stabilityprobabilistic metric spacefixed points methodprobabilistic Hyers-Ulam stability

Mathematics Subject Classification ID

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) Probabilistic metric spaces (54E70)

Related Items (19)

Unnamed Item ⋮ Random Stability of an AQCQ Functional Equation: A Fixed Point Approach ⋮ On nonlinear stability in various random normed spaces ⋮ Approximation of homomorphisms and derivations on non-Archimedean random Lie \(C^\ast\)-algebras via fixed point method ⋮ Random homomorphisms and random derivations in random normed algebras via fixed point method ⋮ Intuitionistic random almost additive-quadratic mappings ⋮ Probabilistic (quasi)metric versions for a stability result of Baker ⋮ Approximation of mixed-type functional equations in Menger PN-spaces ⋮ Nonlinear random stability via fixed-point method ⋮ On the stability of an \(m\)-variables functional equation in random normed spaces via fixed point method ⋮ A note on stability of a linear functional equation of second order connected with the Fibonacci numbers and Lucas sequences ⋮ Generalized Ulam-Hyers stability of random homomorphisms in random normed algebras associated with the Cauchy functional equation ⋮ Unnamed Item ⋮ Quadratic-quartic functional equations in RN-spaces ⋮ Random stability of an additive-quadratic-quartic functional equation ⋮ The stability of the additive Cauchy functional equation in non-Archimedean fuzzy normed spaces ⋮ Stability of mixed type cubic and quartic functional equations in random normed spaces ⋮ Approximate quadratic-additive mappings in fuzzy normed spaces ⋮ On Ulam's type stability of the linear equation and related issues

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fuzzy versions of Hyers-Ulam-Rassias theorem
• Fuzzy stability of the Jensen functional equation
• Fixed point methods for the generalized stability of functional equations in a single variable
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Generalized contraction mapping principles in probabilistic metric spaces
• Hyers-Ulam stability of functional equations in several variables
• Estimates to the stability of functional equations
• On the stability of the linear transformation in Banach spaces
• On a Local Stability of the Jensen Functional Equation
• Generalized Probabilistic Metric Spaces and Fixed Point Theorems
• The Stability of Certain Functional Equations
• On the Stability of the Linear Mapping in Banach Spaces
• On some fixed points theorems in generalized complete metric spaces
• On generalized complete metric spaces
• Fixed points of contraction mappings on probabilistic metric spaces
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables
• On the stability of the additive Cauchy functional equation in random normed spaces

This page was built for publication: The probabilistic stability for a functional equation in a single variable