Refined stability of the additive, quartic and sextic functional equations with counter-examples-Reference-Cited by-同舟云学术

Refined stability of the additive, quartic and sextic functional equations with counter-examples

Published:2023 Issue:6 Volume:8 Page:14399-14425
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hammad Hasanen A.¹²,Aydi Hassen³⁴⁵,De la Sen Manuel⁶

Affiliation:

1. Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

3. Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia

4. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

6. Institute of Research and Development of Processes, Department of Electricity and Electronics, Faculty of Science and Technology, University of the Basque Country, 48940-Leioa (Bizkaia), Spain

Abstract

<abstract><p>In this study, we utilize the direct method (Hyers approach) to examine the refined stability of the additive, quartic, and sextic functional equations in modular spaces with and without the $ \Delta _{2} $-condition. We also use the direct approach to discuss the Ulam stability in $ 2 $-Banach spaces. Ultimately, we ensure that stability of above equations does not hold in a particular scenario by utilizing appropriate counter-examples.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference32 articles.

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