On approximate solution of lattice functional equations in Banach <em>f</em>-algebras
The aim of the current manuscript is to prove the Hyers-Ulam stability of supremum, infimum and multiplication preserving functional equations in Banach f -algebras. In fact, by using the direct method and the fixed point method, the Hyers-Ulam stability of the functional equations is proved.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-07-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020350/fulltext.html |
| _version_ | 1818118163540213760 |
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| author | Ehsan Movahednia Young Cho Choonkil Park Siriluk Paokanta |
| author_facet | Ehsan Movahednia Young Cho Choonkil Park Siriluk Paokanta |
| author_sort | Ehsan Movahednia |
| collection | DOAJ |
| description | The aim of the current manuscript is to prove the Hyers-Ulam stability of supremum, infimum and multiplication preserving functional equations in Banach f -algebras. In fact, by using the direct method and the fixed point method, the Hyers-Ulam stability of the functional equations is proved. |
| first_indexed | 2024-12-11T04:49:56Z |
| format | Article |
| id | doaj.art-52a26d942a08470885925ef9251286ef |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-11T04:49:56Z |
| publishDate | 2020-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-52a26d942a08470885925ef9251286ef2022-12-22T01:20:25ZengAIMS PressAIMS Mathematics2473-69882020-07-01565458546910.3934/math.2020350On approximate solution of lattice functional equations in Banach <em>f</em>-algebrasEhsan Movahednia0Young Cho1Choonkil Park2Siriluk Paokanta31 Department of Mathematics, Behbahan Khatam Alanbia University of Technology, Behbahan, Iran2 Faculty of Electrical and Electronics Engineering, Ulsan College, Ulsan 44919, Korea3 Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea3 Research Institute for Natural Sciences, Hanyang University, Seoul 04763, KoreaThe aim of the current manuscript is to prove the Hyers-Ulam stability of supremum, infimum and multiplication preserving functional equations in Banach f -algebras. In fact, by using the direct method and the fixed point method, the Hyers-Ulam stability of the functional equations is proved.https://www.aimspress.com/article/10.3934/math.2020350/fulltext.htmlhyers-ulam stabilityfunctional equationbanach lattice<i>f</i> -algebrafixed point method |
| spellingShingle | Ehsan Movahednia Young Cho Choonkil Park Siriluk Paokanta On approximate solution of lattice functional equations in Banach <em>f</em>-algebras AIMS Mathematics hyers-ulam stability functional equation banach lattice <i>f</i> -algebra fixed point method |
| title | On approximate solution of lattice functional equations in Banach <em>f</em>-algebras |
| title_full | On approximate solution of lattice functional equations in Banach <em>f</em>-algebras |
| title_fullStr | On approximate solution of lattice functional equations in Banach <em>f</em>-algebras |
| title_full_unstemmed | On approximate solution of lattice functional equations in Banach <em>f</em>-algebras |
| title_short | On approximate solution of lattice functional equations in Banach <em>f</em>-algebras |
| title_sort | on approximate solution of lattice functional equations in banach em f em algebras |
| topic | hyers-ulam stability functional equation banach lattice <i>f</i> -algebra fixed point method |
| url | https://www.aimspress.com/article/10.3934/math.2020350/fulltext.html |
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