Approximate multi-Jensen-cubic mappings and a fixed point theorem
In this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation. Applying a fixed point theorem, we establish the generalized Hyers-Ulam stability of multi-Jensen-cubic mappings. As a known outcome, we...
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| Format: | Article |
| Language: | deu |
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Sciendo
2020-04-01
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| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| Subjects: | |
| Online Access: | https://studmath.up.krakow.pl/index.php/studmath/article/view/7929 |
| _version_ | 1811311184692903936 |
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| author | Elahe Ramzanpour Abasalt Bodaghi |
| author_facet | Elahe Ramzanpour Abasalt Bodaghi |
| author_sort | Elahe Ramzanpour |
| collection | DOAJ |
| description | In this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation. Applying a fixed point theorem, we establish the generalized Hyers-Ulam stability of multi-Jensen-cubic mappings. As a known outcome, we show that every approximate multi-Jensen-cubic mapping can be multi-Jensen-cubic. |
| first_indexed | 2024-04-13T10:13:19Z |
| format | Article |
| id | doaj.art-ae8a18656e184a90bf956c19e9c04ace |
| institution | Directory Open Access Journal |
| issn | 2081-545X 2300-133X |
| language | deu |
| last_indexed | 2024-04-13T10:13:19Z |
| publishDate | 2020-04-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| spelling | doaj.art-ae8a18656e184a90bf956c19e9c04ace2022-12-22T02:50:49ZdeuSciendoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica2081-545X2300-133X2020-04-01191411547929Approximate multi-Jensen-cubic mappings and a fixed point theoremElahe Ramzanpour0Abasalt Bodaghi1 Islamic Azad University, Department of Mathematics, South Tehran BranchIslamic Azad University, Department of Mathematics, Garmsar BranchIn this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation. Applying a fixed point theorem, we establish the generalized Hyers-Ulam stability of multi-Jensen-cubic mappings. As a known outcome, we show that every approximate multi-Jensen-cubic mapping can be multi-Jensen-cubic.https://studmath.up.krakow.pl/index.php/studmath/article/view/7929banach spacemulti-jensen-cubic functional equationhyers-ulam stability |
| spellingShingle | Elahe Ramzanpour Abasalt Bodaghi Approximate multi-Jensen-cubic mappings and a fixed point theorem Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica banach space multi-jensen-cubic functional equation hyers-ulam stability |
| title | Approximate multi-Jensen-cubic mappings and a fixed point theorem |
| title_full | Approximate multi-Jensen-cubic mappings and a fixed point theorem |
| title_fullStr | Approximate multi-Jensen-cubic mappings and a fixed point theorem |
| title_full_unstemmed | Approximate multi-Jensen-cubic mappings and a fixed point theorem |
| title_short | Approximate multi-Jensen-cubic mappings and a fixed point theorem |
| title_sort | approximate multi jensen cubic mappings and a fixed point theorem |
| topic | banach space multi-jensen-cubic functional equation hyers-ulam stability |
| url | https://studmath.up.krakow.pl/index.php/studmath/article/view/7929 |
| work_keys_str_mv | AT elaheramzanpour approximatemultijensencubicmappingsandafixedpointtheorem AT abasaltbodaghi approximatemultijensencubicmappingsandafixedpointtheorem |