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n-Expansively super-homogeneous and (n, k)-contractively sub-homogeneous fuzzy control functions and stability results with numerical examplesopen access

Authors
Saadati, RezaPark, ChoonkilO'Regan, DonalNadaban, Sorin
Issue Date
Mar-2021
Publisher
SPRINGER
Keywords
n-expansively super-homogeneous; (n, k)-contractively sub-homogeneous; Stochastic derivations; Hyers–Ulam stability
Citation
ADVANCES IN DIFFERENCE EQUATIONS, v.2021, no.1, pp.1 - 17
Indexed
SCIE
SCOPUS
Journal Title
ADVANCES IN DIFFERENCE EQUATIONS
Volume
2021
Number
1
Start Page
1
End Page
17
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/142238
DOI
10.1186/s13662-021-03287-y
ISSN
1687-1839
Abstract
We consider fuzzy sets and generalized triangular norms on positive elements of order commutative C-algebras to study the concept of C-algebra valued normed algebras with uncertainty. Using n-expansively super-homogeneous and (n,k)-contractively sub-homogeneous control functions, we make stochastic (Theta,Upsilon,Xi)-derivations stable and get a better estimated error. We present some numerical examples of control functions and approximations to illustrate the applicability of the main results.
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