Browsing by Author "Tamilvanan, Kandhasamy"

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    Ulam stability results of functional equations in modular spaces and 2-banach spaces
    (Mathematics, 2023) Tamilvanan, Kandhasamy; Alkhaldi, Ali H.; Jakhar, Jyotsana; Chugh, Renu; Jakhar, Jagjeet; Rassias, John, Michael
    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.