Ulam stability of hom-ders in fuzzy Banach algebras-Reference-Cited by-同舟云学术

Ulam stability of hom-ders in fuzzy Banach algebras

Published:2022 Issue:9 Volume:7 Page:16556-16568
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Kheawborisut Araya¹,Paokanta Siriluk²,Senasukh Jedsada³,Park Choonkil²

Affiliation:

1. Department of Mathematics, School of Science, King Mongkut's Institute of Technology Ladkrabang, Bangkok 10520, Thailand

2. Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

3. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Abstract

<abstract>This paper aims to investigate a new type of derivations in a fuzzy Banach algebra. Moreover, by using the fixed point method, we obtain some stability results of the hom-der in fuzzy Banach algebras associated with the functional equation <disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ f(x+{\textbf{k}}y) = f(x)+{\textbf{k}}f(y) $\end{document} </tex-math></disp-formula> where $ {\textbf{k}} $ is a fixed positive integer greater than $ 1 $.</abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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