Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces

Kandhasamy Tamilvanan,Ali H. Alkhaldi, Jyotsana Jakhar,Renu Chugh,Jagjeet Jakhar,John Michael Rassias

Mathematics（2023）

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摘要

In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the & UDelta;2-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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关键词

quartic and quintic functional equations,modular spaces,2-Banach spaces,refined stability

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