<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The advantage of various fuzzy normed spaces is to analyse impreciseness and ambiguity that arise in modelling problems. In this paper, various classical stabilities of a new hexic functional equation in di erent fuzzy spaces like fuzzy Banach space, Felbin’s fuzzy Banach space and intuitionistic fuzzy Banach space are presented, concerning the Ulam’s theory of stabilities of equations. To validate the stability results, experimental results are presented. Also, a comparative study of the results obtained in this investigation are provided.</p>
</abstract>

The advantage of various fuzzy normed spaces is to analyse impreciseness and ambiguity that arise in modelling problems. In this paper, various classical stabilities of a new hexic functional equation in di erent fuzzy spaces like fuzzy Banach space, Felbin’s fuzzy Banach space and intuitionistic fuzzy Banach space are presented, concerning the Ulam’s theory of stabilities of equations. To validate the stability results, experimental results are presented. Also, a comparative study of the results obtained in this investigation are provided.

Fuzzy stabilities of a new hexic functional equation in various spaces

University of Technology and Applied Sciences

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Fuzzy stabilities of a new hexic functional equation in various spaces"}

The advantage of various fuzzy normed spaces is to analyse impreciseness and ambiguity that arise in modelling problems. In this paper, various classical...

Fuzzy stabilities of a new hexic functional equation in various spaces

Publié en ligne: 08 oct. 2022

Pages: 143 - 171

Reçu: 11 oct. 2021

Accepté: 31 janv. 2022

DOI: https://doi.org/10.2478/auom-2022-0038

Mots clés
functional equation, hexic functional equation, Ulam stability, fuzzy Banach space, Felbin’s Banach space, intuitionistic fuzzy Banach space

© 2022 Hemen Dutta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fuzzy stabilities of a new hexic functional equation in various spaces

Publié en ligne: 08 oct. 2022

Pages: 143 - 171

Reçu: 11 oct. 2021

Accepté: 31 janv. 2022

DOI: https://doi.org/10.2478/auom-2022-0038

Mots clésfunctional equation, hexic functional equation, Ulam stability, fuzzy Banach space, Felbin’s Banach space, intuitionistic fuzzy Banach space

© 2022 Hemen Dutta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
functional equation, hexic functional equation, Ulam stability, fuzzy Banach space, Felbin’s Banach space, intuitionistic fuzzy Banach space