The issue of Ulam's type stability of an equation is understood in the following way: when a
mapping which satisfies the equation approximately (in some sense), it is" close" to a …

Ulam Stability of Operators presents a modern, unified, and systematic approach to the field.
Focusing on the stability of functional equations across single variable, difference equations …

This is a survey paper concerning stability results for the linear functional equation in single
variable. We discuss issues that have not been considered or have been treated only briefly …

The Ulam stability of various equations (eg, differential, difference, integral, and functional)
concerns the following issue: how much does an approximate solution of an equation differ …

The Ulam stability concerns the following issue: how much an approximate solution to an
equation differs from an exact solution to the equation. We prove a general Ulam stability …

We obtain some results on approximate solutions of the generalised linear functional
equation for functions mapping a normed space into a normed space. We show that, under …

In this paper, we study the hyperstability for the general linear equation in the setting of
quasi-Banach spaces. We first extend the fixed point result of Brzdek et al.[5, Theorem 1] in …

Let\mathbb FF,\mathbb KK be two fields of real or complex numbers and X, Y be two normed
spaces over\mathbb FF,\mathbb KK, respectively. In this paper, we use a modification of …

Our purpose is to investigate criteria for hyperstability of linear type functional equations. We
prove that a function satisfying the equation approximately in some sense, must be a …

We propose a new approach called Hyers–Ulam programming to discriminate whether a
generalized linear functional equation, with the form i= 1^ m L_if (j= 1^ n a_ ij x_j)= 0∑ i= 1 …