Characterization, stability and hyperstability of multi-quadratic–cubic mappings

Characterization, stability and hyperstability of multi-quadratic–cubic mappings

Abstract In this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to a single equation. Applying a fixed point theorem, we study the generalized Hyers–Ulam stability of multi-quadratic–cubic mappings. As a result, we investigate the hyperstability of multi-...

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Main Authors: Abasalt Bodaghi, Ajda Fošner
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Journal of Inequalities and Applications
Subjects:
Banach space
Hyers–Ulam stability
Multi-quadratic mapping
Multi-cubic mapping
Multi-quadratic–cubic mapping
Online Access:https://doi.org/10.1186/s13660-021-02580-4
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spelling doaj-932df5aeb41d455d925189dc4851e9632021-03-11T11:14:15ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-03-012021111210.1186/s13660-021-02580-4Characterization, stability and hyperstability of multi-quadratic–cubic mappingsAbasalt Bodaghi0Ajda Fošner1Department of Mathematics, Garmsar Branch, Islamic Azad UniversityFaculty of Management, University of PrimorskaAbstract In this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to a single equation. Applying a fixed point theorem, we study the generalized Hyers–Ulam stability of multi-quadratic–cubic mappings. As a result, we investigate the hyperstability of multi-quadratic–cubic mappings in some senses.https://doi.org/10.1186/s13660-021-02580-4Banach spaceHyers–Ulam stabilityMulti-quadratic mappingMulti-cubic mappingMulti-quadratic–cubic mapping
collection DOAJ
language English
format Article
sources DOAJ
author Abasalt Bodaghi
Ajda Fošner
spellingShingle Abasalt Bodaghi
Ajda Fošner
Characterization, stability and hyperstability of multi-quadratic–cubic mappings
Journal of Inequalities and Applications
Banach space
Hyers–Ulam stability
Multi-quadratic mapping
Multi-cubic mapping
Multi-quadratic–cubic mapping
author_facet Abasalt Bodaghi
Ajda Fošner
author_sort Abasalt Bodaghi
title Characterization, stability and hyperstability of multi-quadratic–cubic mappings
title_short Characterization, stability and hyperstability of multi-quadratic–cubic mappings
title_full Characterization, stability and hyperstability of multi-quadratic–cubic mappings
title_fullStr Characterization, stability and hyperstability of multi-quadratic–cubic mappings
title_full_unstemmed Characterization, stability and hyperstability of multi-quadratic–cubic mappings
title_sort characterization, stability and hyperstability of multi-quadratic–cubic mappings
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2021-03-01
description Abstract In this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to a single equation. Applying a fixed point theorem, we study the generalized Hyers–Ulam stability of multi-quadratic–cubic mappings. As a result, we investigate the hyperstability of multi-quadratic–cubic mappings in some senses.
topic Banach space
Hyers–Ulam stability
Multi-quadratic mapping
Multi-cubic mapping
Multi-quadratic–cubic mapping
url https://doi.org/10.1186/s13660-021-02580-4
work_keys_str_mv AT abasaltbodaghi characterizationstabilityandhyperstabilityofmultiquadraticcubicmappings
AT ajdafosner characterizationstabilityandhyperstabilityofmultiquadraticcubicmappings
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