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Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces
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In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the Δ2-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.
Title: Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces
Description:
In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the Δ2-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.
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