| dc.creator | Dehghanian, Mehdi | |
| dc.creator | Park, Choonkil | |
| dc.creator | Sayyari, Yamin | |
| dc.date | 2023-08-08 | |
| dc.date.accessioned | 2023-12-19T18:55:52Z | |
| dc.date.available | 2023-12-19T18:55:52Z | |
| dc.identifier | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3451 | |
| dc.identifier | 10.56754/0719-0646.2502.273 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/239189 | |
| dc.description | In this paper, we introduce the concept of ternary antiderivation on ternary Banach algebras and investigate the stability of ternary antiderivation in ternary Banach algebras, associated to the \((\alpha,\beta)\)-functional inequality:
\begin{cases} &\| \mathcal{F}(x+y+z) - \mathcal{F}(x+z) - \mathcal{F}(y-x+z) - \mathcal{F}(x-z) \| \\ &\leq \| \alpha (\mathcal{F}(x+y-z) + \mathcal{F}(x-z) - \mathcal{F}(y)) \| + \| \beta (\mathcal{F}(x-z) \\ &+ \mathcal{F}(x) - \mathcal{F}(z)) \| \end{cases}where \(\alpha\) and \(\beta\) are fixed nonzero complex numbers with \(\vert\alpha \vert +\vert \beta \vert<2\) by using the fixed point method. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3451/2303 | |
| dc.rights | Copyright (c) 2023 M. Dehghanian et al. | en-US |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 25 No. 2 (2023); 273–288 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 25 No. 2 (2023); 273–288 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Hyers-Ulam stability | en-US |
| dc.subject | stability | en-US |
| dc.subject | fixed point method | en-US |
| dc.subject | ternary antiderivation | en-US |
| dc.subject | ternary Banach algebra | en-US |
| dc.subject | additive functional inequality | en-US |
| dc.subject | 47B47 | en-US |
| dc.subject | 11E20 | en-US |
| dc.subject | 17B40 | en-US |
| dc.subject | 39B72 | en-US |
| dc.subject | 47H10 | en-US |
| dc.title | Stability of ternary antiderivation in ternary Banach algebras via fixed point theorem | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
