On Ulam stability with respect to 2-norm
J Brzdęk - Symmetry, 2023 - mdpi.com
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 …
concerns the following issue: how much does an approximate solution of an equation differ …
A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces
We prove a very general fixed point theorem in the space of functions taking values in a
random normed space (RN-space). Next, we show several of its consequences and, among …
random normed space (RN-space). Next, we show several of its consequences and, among …
On Ulam stability of the inhomogeneous version of the general linear functional equation
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 …
equation differs from an exact solution to the equation. We prove a general Ulam stability …
Ulam stability of a general linear functional equation in modular spaces
Using the direct method, we prove the Ulam stability results for the general linear functional
equation of the form∑ i= 1 m A i (f φ i (x¯))= D (x¯) for all x¯∈ X n, where f is the unknown …
equation of the form∑ i= 1 m A i (f φ i (x¯))= D (x¯) for all x¯∈ X n, where f is the unknown …