Multi-super-stability of antiderivations in Banach algebras

Safoura Rezaei Aderyani; Reza Saadati; Donal O'Regan; Fehaid Salem Alshammari; Safoura Rezaei Aderyani; Reza Saadati; Donal O'Regan; Fehaid Salem Alshammari

doi:10.3934/math.20221102

AIMS Mathematics

2022, Volume 7, Issue 11: 20143-20163. doi: 10.3934/math.20221102

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Multi-super-stability of antiderivations in Banach algebras

1.
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
2.
School of Mathematical and Statistical Sciences, University of Galway, University Road, Galway, Ireland
3.
Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia

Received: 13 July 2022 Revised: 19 August 2022 Accepted: 25 August 2022 Published: 14 September 2022
MSC : 47B47, 17B40, 39B72, 47H10

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.
- additive functional inequality,
- antiderivation,
- fixed point method,
- multi stability,
- superstability
Citation: Safoura Rezaei Aderyani, Reza Saadati, Donal O'Regan, Fehaid Salem Alshammari. Multi-super-stability of antiderivations in Banach algebras[J]. AIMS Mathematics, 2022, 7(11): 20143-20163. doi: 10.3934/math.20221102

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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.

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