The fixed point method has been applied for the first time, in proving the stability results for
functional equations, by Baker (1991); he used a variant of Banach′ s fixed point theorem …

A fixed point approach to stability of functional equations - ScienceDirect Skip to main
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We show that a very classical result, proved by T. Aoki, Z. Gajda and Th. M. Rassias and
concerning the Hyers–Ulam stability of the Cauchy equation f (x+ y)= f (x)+ f (y), can be …

Over the past two decades, significant advancements have been made in understanding the
stability according to Hyers–Ulam involving different functional equations (FEs). This study …

We obtain weak conditions to guarantee the Hyers-Ulam-Rassias stability of (nonlinear)
Volterra integral equations with delay. In particular, this leads to a generalization of some …

We prove that a set-valued map satisfying a linear functional inclusion in a single variable
admits (in appropriate conditions) a unique selection satisfying a linear functional equation …

THE PROBABILISTIC STABILITY FOR A FUNCTIONAL EQUATION IN A SINGLE VARIABLE
Page 1 Acta Math. Hungar., 123 (3) (2009), 249 256. DOI: 10.1007/s10474-008-8101-y First …

We show that, under some assumptions, every approximate solution of the linear functional
equation of higher order, in single variable, generates a solution of the equation that is close …

The main goal of this research article is to investigate the stability of generalized
normadditive functional equations. This study demonstrates that these equations are Hyers …

On the Stability of Additive, Quadratic, Cubic and Quartic Set-valued Functional Equations
Page 1 Results. Math. 68 (2015), 1–10 c© 2014 Springer Basel 1422-6383/15/010001-10 …