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ON APPROXIMATE DOUBLE DERIVATIONS AND ∗-DOUBLE DERIVATIONS ON FUZZY BANACH ALGEBRAS: A FIXED POINT APPROACHON APPROXIMATE DOUBLE DERIVATIONS AND *-DOUBLE DERIVATIONS ON FUZZY BANACH ALGEBRAS: A FIXED POINT APPROACH

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ON APPROXIMATE DOUBLE DERIVATIONS AND *-DOUBLE DERIVATIONS ON FUZZY BANACH ALGEBRAS: A FIXED POINT APPROACH
Authors
Ghobadipour, NorouzGolestani, MohammadPark, Choonkil
Issue Date
Jan-2026
Publisher
대한수학회
Keywords
Fuzzy double derivation; fuzzy *-double derivation; induced fuzzy C & lowast; -algebra; Hyers-Ulam stability
Citation
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, v.41, no.1, pp 127 - 142
Pages
16
Indexed
ESCI
KCI
Journal Title
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
Volume
41
Number
1
Start Page
127
End Page
142
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/211395
DOI
10.4134/CKMS.c250055
ISSN
1225-1763
2234-3024
Abstract
In this paper, we introduce the concept of a fuzzy *-double derivation and a fuzzy double derivation. Utilizing the fixed point method, we establish the Hyers-Ulam stability for the newly defined notions. Additionally, under specific conditions, we prove that every approximate fuzzy double derivation is, in fact, an exact fuzzy double derivation.
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