Representation of multi-cubic mappings and some approximations in 2-Banach spaces

This study first focuses on defining a new fashion of multi-cubic mappings, and then represent such mapping as an single equation, as the multi-cubic functional equation. Additionally, this work also discusses the Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability of multi-cubic equations by applying the so-called direct (Hyers) method in the setting of 2-Banach spaces.

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2024-09-20
DOI
https://doi.org/10.1142/s1793557124500980
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

Representation of multi-cubic mappings and some approximations in 2-Banach spaces

Abasalt Bodaghi
Asian-European Journal of Mathematics
Fixed Point Theorems Analysis
article

Representation of multi-cubic mappings and some approximations in 2-Banach spaces

Abasalt Bodaghi
article en

Abstract

This study first focuses on defining a new fashion of multi-cubic mappings, and then represent such mapping as an single equation, as the multi-cubic functional equation. Additionally, this work also discusses the Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability of multi-cubic equations by applying the so-called direct (Hyers) method in the setting of 2-Banach spaces.

Asian-European Journal of MathematicsVol. 18(02)
Islamic Azad University South Tehran Branch (IR)
Openalex Percentile: Top 75%
Fixed Point Theorems Analysis
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Representation of multi-cubic mappings and some approximations in 2-Banach spaces — Abasalt Bodaghi · Asian-European Journal of Mathematics (2024) | TGRS Research Map | TGRS