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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 10 Jan 2023 Greece English Publisher:MDPI AGJournal:Mathematics, volume 11, page 371 (eissn: 2227-7390,

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Authors: Kandhasamy Tamilvanan; Ali H. Alkhaldi; Jyotsana Jakhar; Renu Chugh; Jagjeet Jakhar; John Michael Rassias;

doi: 10.3390/math11020371

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

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Abstract

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.

Country

Greece

Related Organizations

National and Kapodistrian University of Athens
Greece
Central University of Haryana
India
National and Kapodistrian University of Athens
Greece
R.M.D. Engineering College
India
Maharshi Dayanand Saraswati University
India

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Keywords

refined stability, quartic and quintic functional equations, 2-Banach spaces, QA1-939, modular spaces, Mathematics

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