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Research Article | Open Access

Multi-super-stability of antiderivations in Banach algebras

Safoura Rezaei Aderyani1, Reza Saadati1( ), Donal O'Regan2, Fehaid Salem Alshammari3
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
School of Mathematical and Statistical Sciences, University of Galway, University Road, Galway, Ireland
Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia
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Abstract

In this study, we investigate the concept of antiderivations in Banach algebras and study multi-super-stability of antiderivations in Banach algebras, associated with functional inequalities.

Keywords

additive functional inequalityantiderivationfixed point methodmulti stabilitysuperstability
CLC number: 47B47, 17B40, 39B72, 47H10

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AIMS Mathematics
Volume 7 Issue 11,
November 2022
Pages 20143-20163
DOI: 10.3934/math.20221102

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Cite this article:
Aderyani SR, Saadati R, O'Regan D, et al. Multi-super-stability of antiderivations in Banach algebras. AIMS Mathematics, 2022, 7(11): 20143-20163. https://doi.org/10.3934/math.20221102

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Received: 13 July 2022
Revised: 19 August 2022
Accepted: 25 August 2022
Published: 15 November 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)