n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -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 ∗ $C^{*}$ -algebras to study the concept of C ∗ $C^{*}$ -algebra valued normed algebras with uncertainty. Using n-expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homoge...

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Main Authors:	Reza Saadati, Choonkil Park, Donal O’Regan, Sorin Nadaban
Format:	Article
Language:	English
Published:	SpringerOpen 2021-03-01
Series:	Advances in Difference Equations
Subjects:	n-expansively super-homogeneous ( n , k ) $(n,k)$ -contractively sub-homogeneous Stochastic derivations Hyers–Ulam stability
Online Access:	https://doi.org/10.1186/s13662-021-03287-y

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spelling	doaj-07be66b44ee444a08b77414ba5be25032021-03-11T12:41:32ZengSpringerOpenAdvances in Difference Equations1687-18472021-03-012021111710.1186/s13662-021-03287-yn-Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examplesReza Saadati0Choonkil Park1Donal O’Regan2Sorin Nadaban3School of Mathematics, Iran University of Science and TechnologyResearch Institute for Natural Sciences, Hanyang UniversitySchool of Mathematics, Statistics and Applied Mathematics, National University of IrelandDepartment of Mathematics and Computer Science, Aurel Vlaicu University of AradAbstract We consider fuzzy sets and generalized triangular norms on positive elements of order commutative C ∗ $C^{}$ -algebras to study the concept of C ∗ $C^{}$ -algebra valued normed algebras with uncertainty. Using n-expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous control functions, we make stochastic ( Θ , ϒ , Ξ ) $(\Theta,\Upsilon,\Xi )$ -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.https://doi.org/10.1186/s13662-021-03287-yn-expansively super-homogeneous( n , k ) $(n,k)$ -contractively sub-homogeneousStochastic derivationsHyers–Ulam stability
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Reza Saadati Choonkil Park Donal O’Regan Sorin Nadaban
spellingShingle	Reza Saadati Choonkil Park Donal O’Regan Sorin Nadaban n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples Advances in Difference Equations n-expansively super-homogeneous ( n , k ) $(n,k)$ -contractively sub-homogeneous Stochastic derivations Hyers–Ulam stability
author_facet	Reza Saadati Choonkil Park Donal O’Regan Sorin Nadaban
author_sort	Reza Saadati
title	n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples
title_short	n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples
title_full	n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples
title_fullStr	n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples
title_full_unstemmed	n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples
title_sort	n-expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2021-03-01
description	Abstract We consider fuzzy sets and generalized triangular norms on positive elements of order commutative C ∗ $C^{}$ -algebras to study the concept of C ∗ $C^{}$ -algebra valued normed algebras with uncertainty. Using n-expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous control functions, we make stochastic ( Θ , ϒ , Ξ ) $(\Theta,\Upsilon,\Xi )$ -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.
topic	n-expansively super-homogeneous ( n , k ) $(n,k)$ -contractively sub-homogeneous Stochastic derivations Hyers–Ulam stability
url	https://doi.org/10.1186/s13662-021-03287-y
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n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples

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