Random stability of an additive-quadratic-quartic functional equation
From MaRDI portal
Publication:962522
DOI10.1155/2010/754210zbMath1187.39045OpenAlexW4249227925WikidataQ59250210 ScholiaQ59250210MaRDI QIDQ962522
Publication date: 7 April 2010
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/228448
Hyers-Ulam stabilityfixed point methodadditive-quadratic-quartic functional equationcomplete random normed spaces
Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)
Related Items (18)
Ulam stability of a functional equation deriving from quadratic and additive mappings in random normed spaces ⋮ Approximation of the multiplicatives on random multi-normed space ⋮ On the stability of set-valued functional equations with the fixed point alternative ⋮ Solutions and stability of generalized mixed type QC functional equations in random normed spaces ⋮ Solution and stability of mixed type functional equation in non-Archimedean random normed spaces ⋮ On the stability of a general mixed additive-cubic functional equation in random normed spaces ⋮ Approximation of functional equations in intuitionistic fuzzy C ∗ -algebras ⋮ A fixed point approach to the stability of additive-quadratic-quartic functional equations ⋮ The fixed point method for fuzzy approximation of a functional equation associated with inner product spaces ⋮ Application of fixed point theory for approximating of a positive-additive functional equation in intuitionistic random C*-algebras ⋮ Stability of an additive-quadratic-quartic functional equation ⋮ Hyers-Ulam-Rassias stability of Cauchy-Jensen functional equation in RN-spaces ⋮ Unnamed Item ⋮ A fixed point approach to the stability of quintic and sextic functional equations in quasi-\(\beta \)-normed spaces ⋮ Non-Archimedean and random HUR-approximation of a Cauchy-Jensen additive mapping ⋮ Random \(C^{*}\)-ternary algebras and application ⋮ HYERS-ULAM-RASSIAS STABILITY OF AN ADDITIVE-QUADRATIC-QUARTIC FUNCTIONAL EQUATION ⋮ STABILITY OF THE JENSEN FUNCTIONAL EQUATION IN FUZZY BANACH ALGEBRAS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quartic functional equations
- Fuzzy versions of Hyers-Ulam-Rassias theorem
- Fuzzy stability of the Jensen functional equation
- A fixed point approach to stability of a quadratic equation
- Refined Hyers--Ulam approximation of approximately Jensen type mappings
- Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach
- Fixed point methods for the generalized stability of functional equations in a single variable
- Fuzzy approximately cubic mappings
- On the stability of a generalized quadratic and quartic type functional equation in quasi-Banach spaces
- Stability of an additive-cubic-quartic functional equation
- The stability of the quartic functional equation in random normed spaces
- The stability of the additive Cauchy functional equation in non-Archimedean fuzzy normed spaces
- On the stability of cubic mappings and quadratic mappings in random normed spaces
- A note to paper ``On the stability of cubic mappings and quartic mappings in random normed spaces
- The fixed point method for fuzzy stability of the Jensen functional equation
- The probabilistic stability for a functional equation in a single variable
- Variational problem of some quadratic functionals in complex analysis
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- The problem of S. M. Ulam for approximately multiplicative mappings
- On the stability of functional equations and a problem of Ulam
- On the stability of functional equations in Banach spaces
- The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
- Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
- On the Hyers-Ulam stability of linear mappings
- Homomorphisms and derivations in \(C^{*}\)-algebras
- Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
- Asymptotic behavior of alternative Jensen and Jensen type functional equations
- On the stability of the linear transformation in Banach spaces
- The stability of an additive functional equation in menger probabilistic φ-normed spaces
- Proprieta’ locali e approssimazione di operatori
- On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
- On the Stability of the Linear Mapping in Banach Spaces
- A fixed point theorem of the alternative, for contractions on a generalized complete metric space
- On the Stability of the Linear Functional Equation
- Remarks on the stability of functional equations
- Stability of functional equations in several variables
- On the stability of the additive Cauchy functional equation in random normed spaces
- Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras
- On the stability of the quadratic mapping in normed spaces
This page was built for publication: Random stability of an additive-quadratic-quartic functional equation
