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

  • Saadati, Reza
  • Park, Choonkil
  • O'Regan, Donal
  • Nadaban, Sorin
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초록

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.

키워드

n-expansively super-homogeneous(n, k)-contractively sub-homogeneousStochastic derivationsHyers–Ulam stabilityC-ASTERISK-ALGEBRASHOMOMORPHISMSEQUATION
제목
n-Expansively super-homogeneous and (n, k)-contractively sub-homogeneous fuzzy control functions and stability results with numerical examples
저자
Saadati, RezaPark, ChoonkilO'Regan, DonalNadaban, Sorin
DOI
10.1186/s13662-021-03287-y
발행일
2021-03
유형
정기학술지(Article(Perspective Article포함))
저널명
Advances in Difference Equations
2021
1
페이지
1 ~ 17

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