n-Expansively super-homogeneous and (n, k)-contractively sub-homogeneous fuzzy control functions and stability results with numerical examplesopen access
- Authors
- Saadati, Reza; Park, Choonkil; O'Regan, Donal; Nadaban, 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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