AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (235.4 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Ulam stability of hom-ders in fuzzy Banach algebras

Araya Kheawborisut1( ), Siriluk Paokanta2, Jedsada Senasukh3, Choonkil Park2( )
Department of Mathematics, School of Science, King Mongkut's Institute of Technology Ladkrabang, Bangkok 10520, Thailand
Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Show Author Information

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

f ( x + k y ) = f ( x ) + k f ( y )

where k is a fixed positive integer greater than 1.

Keywords

Ulam stability resulthom-derfuzzy Banach algebrafixed point method
CLC number: 47H10, 39B82

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 16556-16568
DOI: 10.3934/math.2022907

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Kheawborisut A, Paokanta S, Senasukh J, et al. Ulam stability of hom-ders in fuzzy Banach algebras. AIMS Mathematics, 2022, 7(9): 16556-16568. https://doi.org/10.3934/math.2022907

80

Views

1

Downloads

5

Crossref

7

Web of Science

8

Scopus
Received: 11 May 2022
Revised: 28 June 2022
Accepted: 05 July 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)