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

Reza Saadati; Choonkil Park; Donal O’Regan; Sorin Nadaban

doi:10.1186/s13662-021-03287-y

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

Reza Saadati
, Choonkil Park
, Donal O’Regan
, Sorin Nadaban

Mathematics

Iran University of Science and Technology
Hanyang University
Aurel Vlaicu University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

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 (Θ , ϒ , Ξ ) -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.

Original language	English
Article number	153
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03287-y
Publication status	Published - Dec 2021

Keywords

(n, k) -contractively sub-homogeneous
Hyers–Ulam stability
n-expansively super-homogeneous
Stochastic derivations

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10.1186/s13662-021-03287-y

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

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 (Θ , ϒ , Ξ ) -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.",

keywords = "(n, k) -contractively sub-homogeneous, Hyers{\textendash}Ulam stability, n-expansively super-homogeneous, Stochastic derivations",

author = "Reza Saadati and Choonkil Park and Donal O{\textquoteright}Regan and Sorin Nadaban",

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T1 - n-Expansively super-homogeneous and (n, k) -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples

AU - Saadati, Reza

AU - Park, Choonkil

AU - O’Regan, Donal

AU - Nadaban, Sorin

PY - 2021/12

Y1 - 2021/12

N2 - 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 (Θ , ϒ , Ξ ) -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.

AB - 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 (Θ , ϒ , Ξ ) -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.

KW - (n, k) -contractively sub-homogeneous

KW - Hyers–Ulam stability

KW - n-expansively super-homogeneous

KW - Stochastic derivations

UR - https://www.scopus.com/pages/publications/85102077700

U2 - 10.1186/s13662-021-03287-y

DO - 10.1186/s13662-021-03287-y

M3 - Article

AN - SCOPUS:85102077700

SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 153

ER -

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

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Keywords

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