Random Stability of an AQCQ Functional Equation: A Fixed Point Approach

DOI10.1007/978-1-4614-3498-6_22zbMath1248.39040OpenAlexW2285096496MaRDI QIDQ2905783

Publication date: 28 August 2012

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-3498-6_22

zbMATH Keywords

fixed points additive-quadratic-cubic-quartic functional equation random normed spaces random stability

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Functional analysis in probabilistic metric linear spaces (46S50)

Cites Work

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
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
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
Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
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
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
On the stability of the quadratic mapping in normed spaces
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item

This page was built for publication: Random Stability of an AQCQ Functional Equation: A Fixed Point Approach