Stability of mixed type cubic and quartic functional equations in random normed spaces

DOI10.1155/2009/527462zbMath1176.39022OpenAlexW2089937955WikidataQ59220272 ScholiaQ59220272MaRDI QIDQ1035511

M. Bavand Savadkouhi, Madjid Eshaghi-Gordji

Publication date: 3 November 2009

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/117810

zbMATH Keywords

stabilityquartic functional equationcubic functional equationrandom normed spaces

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Probabilistic methods in Banach space theory (46B09) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (32)

Ulam stability of a functional equation deriving from quadratic and additive mappings in random normed spaces ⋮ Fuzzy \(\ast\)-homomorphisms and fuzzy \(\ast\)-derivations in induced fuzzy \(C^\ast\)-algebras ⋮ HUR stability of a generalized Apollonius type quadratic functional equation in non-Archimedean Banach spaces ⋮ A functional equation related to inner product spaces in non-Archimedean normed spaces ⋮ Nonlinear approximation of an ACQ-functional equation in NAN-spaces ⋮ Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach ⋮ On the stability of a mixed type functional equation in generalized functions ⋮ Stability and superstability of generalized \((\theta, \phi)\)-derivations in non-Archimedean algebras: fixed point theorem via the additive Cauchy functional equation ⋮ Stabilities of cubic mappings in various normed spaces: direct and fixed point methods ⋮ Solution and Hyers-Ulam-Rassias stability of generalized mixed type additive-quadratic functional equations in fuzzy Banach spaces ⋮ Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations ⋮ Approximate Solutions of an Additive-Quadratic-Quartic (AQQ) Functional Equation ⋮ Stability of mixed additive-quadratic Jensen type functional equation in various spaces ⋮ General cubic-quartic functional equation ⋮ Hyers-Ulam-Rassias RNS approximation of Euler-Lagrange-type additive mappings ⋮ Stabilities of cubic mappings in fuzzy normed spaces ⋮ On the stability of a general mixed additive-cubic functional equation in random normed spaces ⋮ The fixed point method for fuzzy approximation of a functional equation associated with inner product spaces ⋮ Solution and stability of generalized mixed type additive and quadratic functional equation in non-Archimedean spaces ⋮ Fixed points and approximately heptic mappings in non-Archimedean normed spaces ⋮ On the stability of a mixed type quadratic-additive functional equation ⋮ Behavior of bi-cubic functions in Lipschitz spaces ⋮ A fixed point approach to the stability of quintic and sextic functional equations in quasi-\(\beta \)-normed spaces ⋮ Generalized Hyers-Ulam-Rassias theorem in Menger probabilistic normed spaces ⋮ Non-Archimedean and random HUR-approximation of a Cauchy-Jensen additive mapping ⋮ On the stability of general cubic-quartic functional equations in Menger probabilistic normed spaces ⋮ On random topological structures ⋮ A CHARACTERISATION OF 3-JORDAN HOMOMORPHISMS ON BANACH ALGEBRAS ⋮ Approximately quintic and sextic mappings form \(r\)-divisible groups into Šerstnev probabilistic Banach spaces: fixed point method ⋮ Almost tri-cubic functions with Lipschitz condition ⋮ A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in C∗-ternary algebras ⋮ FIXED POINTS AND APPROXIMATELY C*-TERNARY QUADRATIC HIGHER DERIVATIONS

Cites Work

• Quartic functional equations
• Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
• On the stability of the orthogonally quartic functional equation
• The stability of the quartic functional equation in random normed spaces
• On the stability of cubic mappings and quadratic mappings in random normed spaces
• Stability of a functional equation deriving from cubic and quartic functions
• 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
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the stability of functional equations and a problem of Ulam
• On the stability of functional equations in Banach spaces
• On the Hyers-Ulam stability of \(\psi\)-additive mappings
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
• On the stability of a quartic functional equation
• On a bi-quadratic functional equation and its stability
• On the stability of the linear transformation in Banach spaces
• On the Stability of the Linear Mapping in Banach Spaces
• ON THE GENERAL SOLUTION OF A QUARTIC FUNCTIONAL EQUATION
• Classes of transformations and bordering transformations
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Stability of mixed type cubic and quartic functional equations in random normed spaces