Ulam stability results of functional equations in modular spaces and 2-banach spaces
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Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
In this work, we investigate the refined stability of the additive, quartic, and quintic functional
equations in modular spaces with and without the D2-condition using the direct method (Hyers
method). We also examine Ulam stability in 2-Banach space using the direct method. Additionally,
using a suitable counterexample, we eventually demonstrate that the stability of these equations fails
in a certain case.
Description
Keywords
quartic and quintic functional equations; modular spaces; 2-Banach spaces; refined stability